Local Fractional Integral Transforms and Their Applications

"...a boon to all those who are interested in the eld of local fractional integral transforms and want to further develop this live and useful branch of mathematics." --Zentralblatt MATH

Dr. Xiao-Jun Yang is a full professor of China University of Mining and Technology, China. He was awarded the 2019 Obada-Prize, the Young Scientist Prize (Turkey), and Springer's Distinguished Researcher Award. His scientific interests include: Viscoelasticity, Mathematical Physics, Fractional Calculus and Applications, Fractals, Analytic Number Theory, and Special Functions. He has published over 160 journal articles and 4 monographs, 1 edited volume, and 10 chapters. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Methods in the Applied Sciences, Mathematical Modelling and Analysis, Journal of Thermal Stresses, and Thermal Science, and an associate editor of Journal of Thermal Analysis and Calorimetry, Alexandria Engineering Journal, and IEEE Access. Dumitru Baleanu is a professor at the Institute of Space Sciences, Magurele-Bucharest, Romania and a visiting staff member at the Department of Mathematics, ankaya, University, Ankara, Turkey. He received his Ph.D. from the Institute of Atomic Physics in 1996. His fields of interest include Fractional Dynamics and its applications, Fractional Differential Equations and their applications, Discrete Mathematics, Image Processing, Bioinformatics, Mathematical Biology, Mathematical Physics, Soliton Theory, Lie Symmetry, Dynamic Systems on time scales, Computational Complexity, the Wavelet Method and its applications, Quantization of systems with constraints, the Hamilton-Jacobi Formalism, as well as geometries admitting generic and non-generic symmetries.

Dr. Hari M. Srivastava is Professor Emeritus in the Department of Mathematics and Statistics at the University of Victoria, British Columbia, Canada. He earned his Ph.D. degree in 1965 while he was a full-time member of the teaching faculty at the Jai Narain Vyas University of Jodhpur, India. Dr. Srivastava has held (and continues to hold) numerous Visiting, Honorary and Chair Professorships at many universities and research institutes in di?erent parts of the world. Having received several D.Sc. (honoris causa) degrees as well as honorary memberships and fellowships of many scienti?c academies and scienti?c societies around the world, he is also actively associated editorially with numerous international scienti?c research journals as an Honorary or Advisory Editor or as an Editorial Board Member. He has also edited many Special Issues of scienti?c research journals as the Lead or Joint Guest Editor, including the MDPI journal Axioms, Mathematics, and Symmetry, the Elsevier journals, Journal of Computational and Applied Mathematics, Applied Mathematics and Computation, Chaos, Solitons & Fractals, Alexandria Engineering Journal, and Journal of King Saud University - Science, the Wiley journal, Mathematical Methods in the Applied Sciences, the Springer journals, Advances in Di?erence Equations, Journal of Inequalities

1. Introduction to Local Fractional Derivative and Local Fractional Integral Operators2. Local Fractional Fourier Series 3. Local Fractional Fourier Transform and Its Applications 4. Local Fractional Laplace Transform and Its Applications5. Local Fractional Laplace Transform Method Coupled with Analytical Methods