Fractional Calculus Operators and the Mittag-Leffler Function

This book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag-Leffler function in their kernels are of particular interest. Special attention is gi...

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Other Authors: Andrić, Maja (Editor)
Format: Electronic Book Chapter
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2022
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245 1 0 |a Fractional Calculus Operators and the Mittag-Leffler Function 
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300 |a 1 electronic resource (258 p.) 
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520 |a This book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag-Leffler function in their kernels are of particular interest. Special attention is given to dynamical models, magnetization, hypergeometric series, initial and boundary value problems, and fractional differential equations, among others. 
540 |a Creative Commons  |f https://creativecommons.org/licenses/by/4.0/  |2 cc  |4 https://creativecommons.org/licenses/by/4.0/ 
546 |a English 
650 7 |a Research & information: general  |2 bicssc 
650 7 |a Mathematics & science  |2 bicssc 
653 |a fractional derivative 
653 |a generalized Mittag-Leffler kernel (GMLK) 
653 |a Legendre polynomials 
653 |a Legendre spectral collocation method 
653 |a dynamical systems 
653 |a random time change 
653 |a inverse subordinator 
653 |a asymptotic behavior 
653 |a Mittag-Leffler function 
653 |a data fitting 
653 |a magnetization 
653 |a magnetic fluids 
653 |a Gamma function 
653 |a Psi function 
653 |a Pochhammer symbol 
653 |a hypergeometric function 2F1 
653 |a generalized hypergeometric functions tFu 
653 |a Gauss's summation theorem for 2F1(1) 
653 |a Kummer's summation theorem for 2F1(−1) 
653 |a generalized Kummer's summation theorem for 2F1(−1) 
653 |a Stirling numbers of the first kind 
653 |a Hilfer-Hadamard fractional derivative 
653 |a Riemann-Liouville fractional derivative 
653 |a Caputo fractional derivative 
653 |a fractional differential equations 
653 |a inclusions 
653 |a nonlocal boundary conditions 
653 |a existence and uniqueness 
653 |a fixed point 
653 |a gamma function 
653 |a Beta function 
653 |a Mittag-Leffler function 
653 |a Generalized Mittag-Leffler functions 
653 |a generalized hypergeometric function 
653 |a Fox-Wright function 
653 |a recurrence relations 
653 |a Riemann-Liouville fractional calculus operators 
653 |a (α, h-m)-p-convex function 
653 |a Fejér-Hadamard inequality 
653 |a extended generalized fractional integrals 
653 |a Mittag-Leffler functions 
653 |a initial value problems 
653 |a Laplace transform 
653 |a exact solution 
653 |a Chebyshev inequality 
653 |a Pólya-Szegö inequality 
653 |a fractional integral operators 
653 |a Wright function 
653 |a Srivastava's polynomials 
653 |a fractional calculus operators 
653 |a Lavoie-Trottier integral formula 
653 |a Oberhettinger integral formula 
653 |a fractional partial differential equation 
653 |a boundary value problem 
653 |a separation of variables 
653 |a Mittag-Leffler 
653 |a Abel-Gontscharoff Green's function 
653 |a Hermite-Hadamard inequalities 
653 |a convex function 
653 |a κ-Riemann-Liouville fractional integral 
653 |a Dirichlet averages 
653 |a B-splines 
653 |a dirichlet splines 
653 |a Riemann-Liouville fractional integrals 
653 |a hypergeometric functions of one and several variables 
653 |a generalized Mittag-Leffler type function 
653 |a Srivastava-Daoust generalized Lauricella hypergeometric function 
653 |a fractional calculus 
653 |a Hermite-Hadamard inequality 
653 |a Fox H function 
653 |a subordinator and inverse stable subordinator 
653 |a Lamperti law 
653 |a order statistic 
653 |a n/a 
856 4 0 |a www.oapen.org  |u https://mdpi.com/books/pdfview/book/6141  |7 0  |z DOAB: download the publication 
856 4 0 |a www.oapen.org  |u https://directory.doabooks.org/handle/20.500.12854/93243  |7 0  |z DOAB: description of the publication