Implicit Fractional Differential and Integral Equations (eBook)

Existence and Stability
Artikelnummer: 978-3-11-055318-5
Einband: Adobe Digital Editions
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This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus.

Contents
Preliminary Background
Nonlinear Implicit Fractional Differential Equations
Impulsive Nonlinear Implicit Fractional Differential Equations
Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations
Boundary Value Problems for Impulsive NIFDE
Integrable Solutions for Implicit Fractional Differential Equations
Partial Hadamard Fractional Integral Equations and Inclusions
Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions
Hadamard-Stieltjes Fractional Integral Equations
Ulam Stabilities for Random Hadamard Fractional Integral Equations

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus.

Contents
Preliminary Background
Nonlinear Implicit Fractional Differential Equations
Impulsive Nonlinear Implicit Fractional Differential Equations
Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations
Boundary Value Problems for Impulsive NIFDE
Integrable Solutions for Implicit Fractional Differential Equations
Partial Hadamard Fractional Integral Equations and Inclusions
Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions
Hadamard-Stieltjes Fractional Integral Equations
Ulam Stabilities for Random Hadamard Fractional Integral Equations

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VerlagDe Gruyter
EinbandAdobe Digital Editions
Erscheinungsjahr2018
Seitenangabe359 S.
AusgabekennzeichenEnglisch
Auflage18001 A. 1. Auflage
PlattformEPUB
Reihede Gruyter Series in Nonlinear Analysis and Applications
AutorAbbas, Saïd / Benchohra, Mouffak / Graef, John R. / Henderson, Johnny

Alle Bände der Reihe "de Gruyter Series in Nonlinear Analysis and Applications"

Über den Autor Saïd Abbas

Dr. Saïd Abbas is a Full Professor at the Department of Mathematics at Tahar Moulay University of Saida, Algeria. Dr. Abbas received his MSc in Functional Analysis from Mostaganem University, Algeria, and his PhD in Differential Equations from Djillali Liabes University of Sidi Bel Abbes, Algeria. His research fields include fractional differential equations and inclusions, evolution equations and inclusions, control theory and applications, and other topics in applied mathematics. Dr. Abbas is the author of Topics in Fractional Differential Equations, Springer; Advanced Functional Evolution Equations and Inclusions, Springer; Fractional Differential Equations and Inclusions: Classical and Advanced Topics, World Scientific; and Implicit Fractional Differential and Integral Equations, DeGruyter.

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