Existence Result for Fractional Differential Equation on Unbounded Domain
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Authors: M. BEDDANI AND B. HEDIA
DOI: 10.46793/KgJMat2405.755B
Abstract:
In this article, we establish certain sufficient conditions to show the existence of solutions of boundary value problem for fractional differential equations on the half-line in a Fréchet space. The main result is based on Tykhonoff fixed point theorem combining with a suitable measure of non-compactness. An example is given to illustrate our approach.
Keywords:
Boundary value problem, measure of non-compactness of Kuratowski, Tykhonoff fixed point theorem, Riemann-Liouville fractional derivative.
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