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Fractional-Order Integral and Derivative Operators and Their Applications

In recent years, various families of fractional-order integral and derivative operators, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably important and fruitful, due mainly to their dem...

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Bibliographic Details
Main Author:	Srivastava, Hari Mohan
Format:	eBook
Language:	English
Published:	Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:	Appell’s Functions Systems Of Fractional Order Differential Equations Initial Value Problem Hilfer Derivative Toeplitz Matrices Linear Matrix Inequalities Hermite Collocation Method Hankel Determinant Piecewise Constant Functions Desert Soil ψ-caputo Fractional Derivative Q-derivative Operator Univalent Functions Legendre Wavelet Logarithm Fractional Differential Equations Confluent Hypergeometric Function Q-hypergeometric Functions Q-calculus Hermite Polynomials And Series Fractional Diffusion Equation Sine Function Pantograph Differential Equation Research & Information: General / Bicssc Riemann-liouville Fractional Integral Length Problems Unique Continuation Property Liouville_caputo Sense Fractional Order Unknown Input Fuzzy Observer Fractional Derivatives Banach Space Riemann-stieltjes Integral Monotone Iterative Method Mixed Riemann–liouville Integral Sir Model Fractional Order Model Laplace Operators Uniformly Close-to-convex Functions Unmeasurable Premise Variables Coupled System Janowski Function L2 Optimization Fractional Differential Systems Fractional Integrals Fractional Calculus Rayleigh-ritz Method Cardioid Domain Toeplitz Determinant Ulam Stability Impulsive System Random Solution Upper And Lower Solutions Fractional Order Takagi–sugeno Models Orthogonal Polynomials Mathematics & Science / Bicssc Hadamard Derivative Gauss Hypergeometric Function N/a Upper Bound Collocation Points Starlike Function Global Solutions Operational Matrix Soliton Equations Controllability Available Potassium Multivalent Functions Nonlocal Integral Condition Conic Domains Uniformly Starlike Functions Mittag–leffler Functions Convergence Analysis Correlation Analysis Differential Subordination Nonlocal Boundary Conditions Approximate Solution Field Spectrum Generating Functions Starlike And Q-starlike Functions Non-linear Fractional Variational Problems Limacon Domain Hilfer Fractional Derivative Conic And Generalized Conic Domains Analytic Functions Mixed Hadamard Integral Error Analysis Convex Functions Latent Reservoir Hiv Infection Incomplete Fractional Calculus Close-to-convex Functions Starlike Functions Post-exposure Prophylaxis Logarithmic Coefficients Sobolev Space Variable Order Fractional Derivative Subordination Miura Transform Fractional In Time And Space Shallow-water System
Online Access:	https://www.mdpi.com/books/book/2754 https://directory.doabooks.org/handle/20.500.12854...
Collection:	Directory of Open Access Books - Collection details see MPG.ReNa

Description
Summary:	In recent years, various families of fractional-order integral and derivative operators, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably important and fruitful, due mainly to their demonstrated applications in numerous seemingly diverse and widespread areas of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide interesting, potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables. For this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional-order integral and derivative operators and their multidisciplinary applications.
Item Description:	Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:	1 electronic resource (344 p.)
ISBN:	9783039366507 books978-3-03936-651-4 9783039366514

Fractional-Order Integral and Derivative Operators and Their Applications

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