On solution of generalized proportional fractional integral via a new fixed point theorem

Autor: Anupam Das, Iyad Suwan, Bhuban Chandra Deuri, Thabet Abdeljawad
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-12 (2021)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-021-03589-1
Popis: Abstract The aim of this paper is the solvability of generalized proportional fractional(GPF) integral equation at Banach space E $\mathbb{E}$ . Herein, we have established a new fixed point theorem which is then applied to the GPF integral equation in order to establish the existence of solution on the Banach space. At last, we have illustrated a genuine example that verified our theorem and gave a strong support to prove it.
Databáze: Directory of Open Access Journals