A fixed point theorem for Hardy-Rogers type on generalized fractional differential equations

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:4 Issue:4
A fixed point theorem for Hardy-Rogers type on generalized fractional differential equations

A fixed point theorem for Hardy-Rogers type on generalized fractional differential equations

Authors : Basel HARDAN, Jayshree PATİL, Mohammed ABDO, Archana CHAUDHARİ

Pages : 407-420

Doi:10.31197/atnaa.767331

View : 12 | Download : 4

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :In this research paper, we introduce a generalization of Hardy-Rogers type contraction in a metric like space. Moreover, we apply this technique to investigate the existence and uniqueness of solutions for the classical boundary value problems and generalized fractional boundary value problems through deducing the main properties of the related Green functions. The main result of this paper is to establish the modified conditions of Hardy-Roger`s fixed point theorem and introduce some advanced applications.
Keywords : Hardy Rogers type contractions, fixed points, metric like spaces, generalized fractional differential equations

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