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

Yıl 2020, Cilt: 4 Sayı: 4, 407 - 420, 30.12.2020

Basel Hardan Jayshree Patil Mohammed Abdo Archana Chaudhari

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

Cited By: 1

Öz

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.

Anahtar Kelimeler

Hardy-Rogers-type contractions, fixed points, metric-like spaces, generalized fractional differential equations

Destekleyen Kurum

No financial support

Proje Numarası

There is no

Teşekkür

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

Kaynakça

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