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.