Solvability of functional-integral equations (fractional order) using measure of noncompactness
https://doi.org/10.1186/s13662-019-2487-4Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
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. © 2020, The Author(s).
Tags: Fixed point; Functional-integral equation; Measure of noncompactness
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Solvability of functional-integral equations (fractional order) using measure of noncompactness