Implicit Fractional Differential and Integral Equations : : Existence and Stability / / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson.

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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 26
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Physical Description:1 online resource (XXIII, 336 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Introduction
  • 1 Preliminary Background
  • 2 Nonlinear Implicit Fractional Differential Equations
  • 3 Impulsive Nonlinear Implicit Fractional Differential Equations
  • 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations
  • 5 Boundary Value Problems for Impulsive NIFDE
  • 6 Integrable Solutions for Implicit Fractional Differential Equations
  • 7 Partial Hadamard Fractional Integral Equations and Inclusions
  • 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions
  • 9 Hadamard–Stieltjes Fractional Integral Equations
  • 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations
  • Bibliography
  • Index