BOUNDARY VALUE PROBLEM SOLVING FOR SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL AND INTEGRAL BOUNDARY CONDITIONS

BOUNDARY VALUE PROBLEM SOLVING FOR SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL AND INTEGRAL BOUNDARY CONDITIONS

B. Tellab

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Abstract

In this paper, we will study a boundary value problem for semilinear fractional di erential equations of order q 2 (1; 2] with nonlocal and integral boundary conditions. Some existence and uniqueness results with illustrative examples will be presented by applying some  xed point theorems.

Keywords

Fractional di erential equations, Banach space, Banach's  xed point theorem, Kras- noselskii's  xed point theorem, nonlocal condition.