Kheireddine BENİA, El Hadi Ait DADS, Moustafa BEDDANİ, Benaouda HEDİA

Nonlocal Fractional Differential Equation On The Half Line in Banach Space

Our aim in this paper is to study the existence of solution sets and its topological structure for non-localfractional differential equations on the half-line in a Banach space using Riemann-Liouville definition. Themain result is based on Meir-Keeler fixed point theorem for condensing operators combined with measure ofnon-compactness. An example is given to illustrate the feasibility of our main result.

Keywords:

Nonlocal boundary value problem, measure of non-compactness, unbounded domain, Banach space fixed point theorem, Riemann-Liouville fractional derivative, Meir-Keeler condensing operator, fractional differential equations,

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