Abdelkrim Salim – författare

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16 produkter

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16 produkter

Fractional Difference, Differential Equations, and Inclusions
Analysis and Stability
AvSa�d Abbas,Bashir Ahmadm. fl.
Häftad, Engelska, 2024
1 740 kr
Skickas inom 10-15 vardagar
Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for several classes of functional fractional difference equations and inclusions. Covered equations include delay effects of finite, infinite, or state-dependent nature, and tools used to establish the existence results for the proposed problems include fixed point theorems, densifiability techniques, monotone iterative technique, notions of Ulam stability, attractivity and the measure of non-compactness, as well as the measure of weak noncompactness. The tools of fractional calculus are found to be of great utility in improving the mathematical modeling of many natural phenomena and processes occurring in the areas of engineering, social, natural, and biomedical sciences. All abstract results in the book are illustrated by examples in applied mathematics, engineering, biomedical, and other applied sciences.Introduces notation, definitions, and foundational concepts of fractional q-calculusPresents existence and attractivity results for a class of implicit fractional q-difference equations in Banach and Fr�chet spacesFocuses on the study of a class of coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations
Fractional Difference, Differential Equations, and Inclusions
Analysis and Stability
AvAbdelkrim Salim,Mouffak Benchohram. fl.
E-bok
Engelska, 2024
2 476 kr
Läs direkt efter köp
The field of fractional calculus (FC) is more than 300 years old, and it presumably stemmed from a question about a fractional-order derivative raised in communication between L''Hopital and Leibniz in the year 1695. This branch of mathematical analysis is regarded as the generalization of classical calculus, as it deals with the derivative and integral operators of fractional order. The tools of fractional calculus are found to be of great utility in improving the mathematical modeling of many natural phenomena and processes occurring in the areas of engineering, social, natural, and biomedical sciences. Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for several classes of functional fractional difference equations and inclusions. Some equations include delay effects of finite, infinite, or state-dependent nature. Others are subject to impulsive effect which may be fixed or non-instantaneous. The tools used to establish the existence results for the proposed problems include fixed point theorems, densifiability techniques, monotone iterative technique, notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. All the abstract results are illustrated by examples in applied mathematics, engineering, biomedical, and other applied sciences.- Introduces notation, definitions, and foundational concepts of fractional q-calculus- Presents existence and attractivity results for a class of implicit fractional q-difference equations in Banach and Fréchet spaces- Focuses on the study of a class of coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations
Advanced Topics in Fractional Differential Equations
A Fixed Point Approach
AvMouffak Benchohra,Erdal Karapinarm. fl.
Inbunden, Engelska, 2023
449 kr
Skickas inom 10-15 vardagar
This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical and new fixed point theorems, associated with the measure of noncompactness in Banach spaces as well as several generalizations of the Gronwall's lemma, are employed as tools. The book is based on many years of research in this area, and provides suggestions for further study as well. The authors have included illustrations in order to support the readers’ understanding of the concepts presented.Includes illustrations in order to support readers understanding of the presented concepts· Approaches the topic of fractional differential equations while employing fixed point theorems as tools· Presents novel results, which build upon previous literature and many years of research by the authors
Advanced Topics in Fractional Differential Equations
A Fixed Point Approach
AvAbdelkrim Salim,Jamal Eddine Lazregm. fl.
E-bok
Engelska, 2023
553 kr
Läs direkt efter köp
This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical and new fixed point theorems, associated with the measure of noncompactness in Banach spaces as well as several generalizations of the Gronwall''s lemma, are employed as tools. The book is based on many years of research in this area, and provides suggestions for further study as well. The authors have included illustrations in order to support the readers’ understanding of the concepts presented.
Includes illustrations in order to support readers understanding of the presented concepts
· Approaches the topic of fractional differential equations while employing fixed point theorems as tools
· Presents novel results, which build upon previous literature and many years of research by the authors
Advanced Topics in Fractional Differential Equations
A Fixed Point Approach
AvMouffak Benchohra,Erdal Karapinarm. fl.
Häftad, Engelska, 2024
449 kr
Skickas inom 10-15 vardagar
This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical and new fixed point theorems, associated with the measure of noncompactness in Banach spaces as well as several generalizations of the Gronwall's lemma, are employed as tools. The book is based on many years of research in this area, and provides suggestions for further study as well. The authors have included illustrations in order to support the readers’ understanding of the concepts presented.Includes illustrations in order to support readers understanding of the presented concepts· Approaches the topic of fractional differential equations while employing fixed point theorems as tools· Presents novel results, which build upon previous literature and many years of research by the authors
Fractional Differential Equations
New Advancements for Generalized Fractional Derivatives
AvMouffak Benchohra,Erdal Karapınarm. fl.
Inbunden, Engelska, 2023
441 kr
Skickas inom 5-8 vardagar
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
Fractional Differential Equations
New Advancements for Generalized Fractional Derivatives
AvAbdelkrim Salim,Jamal Eddine Lazregm. fl.
E-bok
Engelska, 2023
553 kr
Läs direkt efter köp
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
Fractional Differential Equations
New Advancements for Generalized Fractional Derivatives
AvMouffak Benchohra,Erdal Karapınarm. fl.
Häftad, Engelska, 2024
449 kr
Skickas inom 10-15 vardagar
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
Advanced Topics on Caputo Tempered Fractional Diﬀerential Equations with Applications
AvAbdelkrim Salim,Mouffak Benchohram. fl.
Inbunden, Engelska, 2026
942 kr
Kommande
This book offers a unified and rigorous treatment of nonlinear differential equations involving the Caputo tempered fractional derivative and its generalizations. Spanning nine chapters, the authors systematically develop analytical methods for solving a wide variety of problems, including those with nonlocal, impulsive, periodic and delayed structures, within both deterministic and random settings. Each chapter is dedicated to a particular class of problems, beginning with global convergence and uniqueness analysis for the successive approximations method and extending to systems with neutral and infinite delays, boundary value problems with impulses, and coupled systems. The analytical approaches employed throughout the book include a rich array of mathematical tools: fixed point theory (Banach, Schauder, Darbo, Monch, Schaefer, Sadovskii, and Krasnoselskii); coincidence degree theory; the method of upper and lower solutions; diagonalization techniques; and the measure of noncompactness. Special attention is given to various notions of stability, including Ulam-Hyers and Mittag-Leffler-Ulam-Hyers stability, as well as the existence of periodic and weak solutions. To ensure practical relevance and illustrate the applicability of each theoretical result, every chapter concludes with a section devoted to remarks and bibliographical suggestions as well as examples that highlight the effectiveness of the proposed methods. This book is ideal for graduate students, researchers, and professionals working in the fields of applied mathematics, differential equations, and fractional calculus.
Fractional Differential Equations
A Coincidence Degree Approach
AvMouffak Benchohra,Soufyane Bouriahm. fl.
Inbunden, Engelska, 2023
2 478 kr
Skickas inom 5-8 vardagar
This book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.
Fractional Differential Equations
A Coincidence Degree Approach
AvYong Zhou,Abdelkrim Salimm. fl.
E-bok
PDF, Engelska, 2023
2 428 kr
Läs direkt efter köp
This book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.
Fractional Differential Equations
A Coincidence Degree Approach
AvYong Zhou,Abdelkrim Salimm. fl.
E-bok
Engelska, 2023
2 428 kr
Läs direkt efter köp
This book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.
Integro-Differential Equations
Analysis, Stability and Controllability
AvMouffak Benchohra,Abdelkrim Salimm. fl.
Inbunden, Engelska, 2024
2 234 kr
Skickas inom 3-6 vardagar
This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay. The main objective is to investigate the existence of solutions and explore their approximate controllability, complete controllability, and attractivity. The study involves boundary conditions, nonlocal conditions, and impulsive conditions. The analysis presented in this book goes beyond traditional solutions and encompasses the study of solutions that are asymptotically almost automorphic and integro-differential equations with impulsive effects in both bounded and unbounded domains. The book also contains applications to nuclear physics, elementary particle physics, chemical engineering, and economics. This book is intended for researchers and professionals in the field of mathematics, physics and industrial engineering, as well as advanced graduate students.
Integro-Differential Equations
Analysis, Stability and Controllability
AvYong Zhou,Abdelkrim Salimm. fl.
E-bok
PDF, Engelska, 2024
1 779 kr
Läs direkt efter köp
This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay. The main objective is to investigate the existence of solutions and explore their approximate controllability, complete controllability, and attractivity. The study involves boundary conditions, nonlocal conditions, and impulsive conditions.

The analysis presented in this book goes beyond traditional solutions and encompasses the study of solutions that are asymptotically almost automorphic and integro-differential equations with impulsive effects in both bounded and unbounded domains. The book also contains applications to nuclear physics, elementary particle physics, chemical engineering, and economics.

This book is intended for researchers and professionals in the field of mathematics, physics and industrial engineering, as well as advanced graduate students.
Integro-Differential Equations
Analysis, Stability and Controllability
AvYong Zhou,Abdelkrim Salimm. fl.
E-bok
Engelska, 2024
1 761 kr
Läs direkt efter köp
This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay. The main objective is to investigate the existence of solutions and explore their approximate controllability, complete controllability, and attractivity. The study involves boundary conditions, nonlocal conditions, and impulsive conditions.

The analysis presented in this book goes beyond traditional solutions and encompasses the study of solutions that are asymptotically almost automorphic and integro-differential equations with impulsive effects in both bounded and unbounded domains. The book also contains applications to nuclear physics, elementary particle physics, chemical engineering, and economics.

This book is intended for researchers and professionals in the field of mathematics, physics and industrial engineering, as well as advanced graduate students.
Del 25 - SERIES ON CONCRETE AND APPLICABLE MATHEMATICS
ADVANCED TOPICS ON SEMILINEAR EVOLUTION EQUATIONS
AvMouffak Benchohra,Gaston M N'Guérékatam. fl.
Inbunden, Engelska, 2025
1 909 kr
Skickas inom 3-6 vardagar
Differential evolution equations serve as mathematical representations that capture the progression or transformation of functions or systems as time passes. Currently, differential equations continue to be an active and thriving area of study, with continuous advancements in mathematical methodologies and their practical applications spanning diverse fields such as physics, engineering, and economics. In the late 20th century, the notion of "Differential Evolution Equations" emerged as a distinct field applied to optimization and machine learning challenges. Evolution equations hold immense importance in numerous realms of applied mathematics and have experienced notable prominence in recent times.This book delves into the study of several classes of equations, aiming to investigate the existence of mild and periodic mild solutions and their properties such as approximate controllability, complete controllability and attractivity, under various conditions. By examining diverse problems involving second-order semilinear evolution equations, differential and integro-differential equations with state-dependent delay, random effects, and functional differential equations with delay and random effects, we hope to contribute to the advancement of mathematical knowledge and provide researchers, academicians, and students with a solid foundation for further exploration in this field. Throughout this book, we explore different mathematical frameworks, employing Fréchet spaces and Banach spaces to provide a comprehensive analysis. Our investigation extends beyond traditional solutions, encompassing the study of asymptotically almost automorphic mild solutions, periodic mild solutions, and impulsive integro-differential equations. These topics shed light on the behavior of equations in both bounded and unbounded domains, offering valuable insights into the dynamics of functional evolution equations.

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Abdelkrim Salim – författare

Fractional Difference, Differential Equations, and Inclusions

Fractional Difference, Differential Equations, and Inclusions

Advanced Topics in Fractional Differential Equations

Advanced Topics in Fractional Differential Equations

Advanced Topics in Fractional Differential Equations

Fractional Differential Equations

Fractional Differential Equations

Fractional Differential Equations

Advanced Topics on Caputo Tempered Fractional Diﬀerential Equations with Applications

Fractional Differential Equations

Fractional Differential Equations

Fractional Differential Equations

Integro-Differential Equations

Integro-Differential Equations

Integro-Differential Equations

ADVANCED TOPICS ON SEMILINEAR EVOLUTION EQUATIONS

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