Fractional integro-differential equations with dual anti-periodic boundary conditions.
type: Item
instance of: scholarly article
title: Fractional integro-differential equations with dual anti-periodic boundary conditions.
zbMATH Open document ID: 1488.45023
author: Bashir Ahmad
author: Ymnah Alruwaily
author: Ahmed Alsaedi
author: Juan J. Nieto
published in: Differential and Integral Equations
publication date: 2020-07-02T00:00:00Z
review text: The authors investigate the existence of solutions for a nonlinear fractional integro-differential equation involving two Caputo fractional derivatives of different orders and a Riemann Liouville integral subject to anti-periodic boundary conditions. The paper is structured as follows: first the authors provide background and some preliminary results, including an equivalence Lemma showing that the problem under consideration has an equivalent integral formulation. The remainder of the paper is devoted to deriving existence results under different assumptions, and giving examples of how these results apply in practice.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7217169
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: Riemann-Liouville integral
zbMATH Keywords: boudary vaue problems
zbMATH Keywords: integro-differential equations
zbMATH Keywords: fractional calculus
reviewed by: Neville J. Ford
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 7217169