A nonlocal integral boundary value problem of nonlinear integro-differential equations of fractional order

International Journal of Physical Sciences

Bashir Ahmad¹ 

关键词: Integro-differential equations;    fractional order;    four-point integral boundary conditions;    fixed point theorems;    Leray-Schauder degree.;   

DOI  :  10.5897/IJPS12.232

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

This study discussed the existence of solutions for a nonlinear fractional integro-differential equation of orderwith four-point nonlocal integral boundary conditions. The given problem is transformed to an equivalent fixed point problem in terms of an operator equation. Then, by means of Banach contraction principle and a fixed point theorem due to Krasnoselskii, the existence results are obtained. The last existence result is based on nonlinear alternative of Leray-Schauder type. An illustrative example is also presented.

【 授权许可】

CC BY