Infinite system of nonlinear fractional integral equations in two variables via measure of noncompactness in Banach algebra C(I×I,E)

Infinite system of nonlinear fractional integral equations in two variables via measure of noncompactness in Banach algebra C(I×I,E)

The aim of this research is to investigate solvability of an infinite system of nonlinear fractional integral equations in two variables using the measure of noncompactness in Banach algebra C ( I × I , E ) . Our result is illustrated with an example.

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Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2024, Vol.70 (4), p.1417-1431
Hauptverfasser: Jan, Asif Hussain, Jalal, Tanweer
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic Geometry
Analysis
Banach spaces
Fractional calculus
Geometry
History of Mathematical Sciences
Integral equations
Mathematics
Mathematics and Statistics
Numerical Analysis
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Zusammenfassung:The aim of this research is to investigate solvability of an infinite system of nonlinear fractional integral equations in two variables using the measure of noncompactness in Banach algebra C ( I × I , E ) . Our result is illustrated with an example.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-024-00511-x