Problems for Caputo-Hadamard Fractional Differential Equations with Variable Order

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Authors: Mohammed Said Souıd, Mustafa Inc, Amar Benkerrouche
Cited by: 0

Abstract

This chapter is devoted to studying three types of variable-order fractional differential equation problems: the first and second are an impulsive initial and terminal value problem and an initial value problem involving the fractional Caputo-Hadamard derivative, and the third is a multiterm initial and terminal value problem involving the fractional R-Liouville derivative in the sense of Atangana-Baleanu of variable-order. In addition to fixed point theorems, we will use the upper-lower solutions technique.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions Fuzzy Systems and Optimization

Publication details

Pages
223–278
Publication date
5 January 2026
Language
EN
Document type
Book chapter