Differential and Integral Equations

Fractional integro-differential equations with dual anti-periodic boundary conditions

Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, and Juan J. Nieto

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Abstract

In this paper, we introduce a new concept of dual anti-periodic boundary conditions. One of these conditions relates to the end points of an interval of arbitrary length, while the second one involves two nonlocal positions within the interval. Equipped with these conditions, we present the criteria for the existence of solutions for a fractional integro-differential equation involving two Caputo fractional derivatives of different orders and a Riemann-Liouville integral. Our study relies on the modern methods of functional analysis. Examples are constructed for illustrating the obtained results.

Article information

Source
Differential Integral Equations, Volume 33, Number 3/4 (2020), 181-206.

Dates
First available in Project Euclid: 21 March 2020

Permanent link to this document
https://projecteuclid.org/euclid.die/1584756018

Mathematical Reviews number (MathSciNet)
MR4079788

Subjects
Primary: 34A08: Fractional differential equations 34B10: Nonlocal and multipoint boundary value problems 34B15: Nonlinear boundary value problems

Citation

Ahmad, Bashir; Alruwaily, Ymnah; Alsaedi, Ahmed; Nieto, Juan J. Fractional integro-differential equations with dual anti-periodic boundary conditions. Differential Integral Equations 33 (2020), no. 3/4, 181--206. https://projecteuclid.org/euclid.die/1584756018


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