African Diaspora Journal of Mathematics

Existence Results for Nonlinear Fractional Differential Equations with Four-Point Nonlocal Type Integral Boundary Conditions

Bashir Ahmad and Sotiris K. Ntouyas

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Abstract

In this paper, we investigate some new existence results for nonlinear fractional differential equations of order $q \in (1,2]$ with four-point nonlocal integral boundary conditions by applying standard fixed point theorems and Leray-Schauder degree theory. Our results are new in the sense that the nonlocal parameters in four-point integral boundary conditions for the problem appear in the integral part of the conditions in contrast to the available literature on four-point fractional boundary value problems which deals with the four-point boundary conditions restrictions on the solution or gradient of the solution of the problem. Some illustrative examples are presented.

Article information

Source
Afr. Diaspora J. Math. (N.S.), Volume 11, Number 1 (2011), 29-39.

Dates
First available in Project Euclid: 21 April 2011

Permanent link to this document
https://projecteuclid.org/euclid.adjm/1303391943

Mathematical Reviews number (MathSciNet)
MR2792208

Zentralblatt MATH identifier
1241.26004

Subjects
Primary: 26A33: Fractional derivatives and integrals
Secondary: 34A12 34A40

Keywords
Fractional differential equations four-point integral boundary conditions existence, contraction principle Krasnoselskii's fixed point theorem Leray-Schauder degree

Citation

Ahmad, Bashir; Ntouyas, Sotiris K. Existence Results for Nonlinear Fractional Differential Equations with Four-Point Nonlocal Type Integral Boundary Conditions. Afr. Diaspora J. Math. (N.S.) 11 (2011), no. 1, 29--39. https://projecteuclid.org/euclid.adjm/1303391943


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