Solvability of functional-integral equations (fractional order) using measure of noncompactness

Autor: Reza Arab, Hemant Kumar Nashine, N. H. Can, Tran Thanh Binh
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-13 (2020)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-019-2487-4
Popis: Abstract We investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space. We introduce a new μ-set contraction operator and derive generalized Darbo fixed point results using an arbitrary measure of noncompactness in Banach spaces. An illustration is given in support of the solution of a functional-integral equation of fractional order.
Databáze: Directory of Open Access Journals
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