Implicit Fractional Differential and 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