Special Functions and Analysis of Differential Equations

Praveen Agarwal is Professor at the Department of Mathematics, Anand International College of Engineering, Jaipur, India. On the editorial boards of several journals of repute and conducted, Professor Agarwal has conducted and attended a number of conferences. Recently, he has received the Most Outstanding Researcher 2018 award for his contribution to mathematics by the Union Minister of Human Resource Development of India. He has received numerous international research grants. He has published over 250 articles related to special functions, fractional calculus and mathematical physics in several leading mathematics journals. His latest research has focused on partial differential equations, fixed point theory and fractional differential equations. Ravi P. Agarwal received his Ph.D. in mathematics from the Indian Institute of Technology, Madras, India. He is a professor of mathematics at the Florida Institute of Technology. His research interests include numerical analysis, inequalities, fixed point theorems, and differential and difference equations. He is the author/co-author of over 1000 journal articles and more than 25 books, and actively contributes to over 500 journals and book series in various capacities. Michael Ruzhansky is a professor at the Department of Mathematics, Imperial College London. He has published over 100 research articles in several leading international journals. He has also published five books and memoirs and nine edited volumes. He has researched topics related to pseudo-differential operators, harmonic analysis and partial differential equations. More recently, he has worked on boundary value problems and their applications. He has been on the editorial board of many respected international journals and served as the President of the International Society of Analysis, Applications, and Computations (ISAAC) in the period 2009-2013.

Preface. Editors. Contributors. 1 A Chebyshev Spatial Discretization Method for Solving Fractional Fokker–Planck Equation with Riesz Derivatives. 2 Special Functions and Their Link with Nonlinear Rod Theory. 3 Second Kind Chebyshev Wavelets for Solving the Variable-Order Space-Time Fractional Telegraph Equation. 4 Hyers–Ulam–Rassias Stabilities of Some Classes of Fractional Differential Equations. 5 Applications of Fractional Derivatives to Heat Transfer in Channel Flow of Nanofluids. 6 The Hyperbolic Maximum Principle Approach to the Construction of Generalized Convolutions. 7 Elements of Aomoto's Generalized Hypergeometric Functions and a Novel Perspective on Gauss' Hypergeometric Differential Equation. 8 Around Boundary Functions of the Right Half-Plane and the Unit Disc. 9 The Stankovich Integral Transform and Its Applications. 10 Electric Current as a Continuous Flow. 11 On New Integral Inequalities Involving Generalized Fractional Integral Operators. 12 A Note on Fox's H Function in the Light of Braaksma's Results. 13 Categories and Zeta & Möbius Functions: Applications to Universal Fractional Operators. 14 New Contour Surfaces to the (2+1)-Dimensional Boussinesq Dynamical Equation. 15 Statistical Approach of Mixed Convective Flow of Third-Grade Fluid towards an Exponentially Stretching Surface with Convective Boundary Condition. 16 Solvability of the Boundary-Value Problem for a Third-Order Linear Loaded Differential Equation with the Caputo Fractional Derivative. 17 Chaotic Systems and Synchronization Involving Fractional Conformable Operators of the Riemann–Liouville Type. Index.