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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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Bibliographic Details
Main Author: Andrić, Maja
Format: eBook
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2022
Subjects:
Beta Function
Exact Solution
Wright Function
Chebyshev Inequality
Fox-wright Function
Srivastava's Polynomials
Gauss's Summation Theorem For 2f1(1)
Pólya-szegö Inequality
Mathematics & Science / Bicssc
Caputo Fractional Derivative
Kummer's Summation Theorem For 2f1(−1)
Fox H Function
Gamma Function
N/a
Generalized Mittag-leffler Type Function
Fixed Point
Riemann-liouville Fractional Integrals
Lamperti Law
Dirichlet Averages
Oberhettinger Integral Formula
Random Time Change
Dynamical Systems
Order Statistic
Riemann-liouville Fractional Calculus Operators
Boundary Value Problem
Psi Function
Hypergeometric Function 2f1
Fractional Differential Equations
Data Fitting
Generalized Kummer's Summation Theorem For 2f1(−1)
Generalized Hypergeometric Functions Tfu
Extended Generalized Fractional Integrals
Fractional Partial Differential Equation
(α, H-m)-p-convex Function
Asymptotic Behavior
Dirichlet Splines
Hermite-hadamard Inequalities
Mittag-leffler Function
Riemann-liouville Fractional Derivative
Fejér-hadamard Inequality
Nonlocal Boundary Conditions
Recurrence Relations
Research & Information: General / Bicssc
Mittag-leffler
B-splines
Inclusions
Separation Of Variables
Stirling Numbers Of The First Kind
Fractional Derivative
Magnetization
Convex Function
Subordinator And Inverse Stable Subordinator
Existence And Uniqueness
Srivastava-daoust Generalized Lauricella Hypergeometric Function
Fractional Integral Operators
Mittag-leffler Functions
Legendre Spectral Collocation Method
Hilfer-hadamard Fractional Derivative
Generalized Mittag-leffler Functions
Laplace Transform
Legendre Polynomials
Inverse Subordinator
Hermite-hadamard Inequality
Pochhammer Symbol
Generalized Hypergeometric Function
Abel-gontscharoff Green's Function
Fractional Calculus Operators
Fractional Calculus
κ-riemann-liouville Fractional Integral
Generalized Mittag-leffler Kernel (gmlk)
Magnetic Fluids
Lavoie-trottier Integral Formula
Hypergeometric Functions Of One And Several Variables
Initial Value Problems
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
Description
Summary: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.
Item Description:Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:1 electronic resource (258 p.)
ISBN:books978-3-0365-5368-9
9783036553672
9783036553689

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