Implicit Fractional Differential and Integral Equations: Existence and Stability

Saïd Abbas · Mouffak Benchohra · John R. Graef · Johnny Henderson

កុម្ភៈ 2018 · De Gruyter Series in Nonlinear Analysis and Applications សៀវភៅទី 26 · Walter de Gruyter GmbH & Co KG

អំពីសៀវភៅ​អេឡិចត្រូនិកនេះ

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

អំពី​អ្នកនិពន្ធ

S. Abbas, U. Saïda, Algeria; M. Benchohra, U. Sidi Bel-Abbès, Algeria; J. R. Graef, U. Tennessee, USA; J. Henderson, Baylor U., USA.