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

Year 2020, , 407 - 420, 30.12.2020

Basel Hardan , Jayshree Patil , Mohammed Abdo , Archana Chaudhari

https://doi.org/10.31197/atnaa.767331

Cited By: 1

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

Supporting Institution

No financial support

Project Number

There is no

Thanks

The authors thank "Dr. Babasaheb Ambedkar Marathwada University" for the facilities provided to researchers

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