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

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

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 measur...

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Veröffentlicht in:Advances in difference equations 2020-01, Vol.2020 (1), p.1-13, Article 12
Hauptverfasser: Arab, Reza, Nashine, Hemant Kumar, Can, N. H., Binh, Tran Thanh
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Banach spaces
Difference and Functional Equations
Fixed point
Fixed points (mathematics)
Functional Analysis
Functional-integral equation
Integral equations
Mathematics
Mathematics and Statistics
Measure of noncompactness
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
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Beschreibung
Zusammenfassung: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2487-4