Nonlocal Fractional Differential Equation On The Half Line in Banach Space

Abstract

Our aim in this paper is to study the existence of solution sets and its topological structure for non-local
fractional differential equations on the half-line in a Banach space using Riemann-Liouville definition. The
main result is based on Meir-Keeler fixed point theorem for condensing operators combined with measure of
non-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

Kaynakça

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