Implicit Fractional Differential and Integral Equations von Saïd Abbas | Existence and Stability | ISBN 9783110553819

Implicit Fractional Differential and Integral Equations

Existence and Stability

von Saïd Abbas, Mouffak Benchohra, John R. Graef und Johnny Henderson
Mitwirkende
Autor / AutorinSaïd Abbas
Autor / AutorinMouffak Benchohra
Autor / AutorinJohn R. Graef
Autor / AutorinJohnny Henderson
Buchcover Implicit Fractional Differential and Integral Equations | Saïd Abbas | EAN 9783110553819 | ISBN 3-11-055381-3 | ISBN 978-3-11-055381-9

Implicit Fractional Differential and Integral Equations

Existence and Stability

von Saïd Abbas, Mouffak Benchohra, John R. Graef und Johnny Henderson
Mitwirkende
Autor / AutorinSaïd Abbas
Autor / AutorinMouffak Benchohra
Autor / AutorinJohn R. Graef
Autor / AutorinJohnny 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 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