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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Bibliographic Details
Published in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche Vol. 70; no. 4; pp. 1417 - 1431
Main Authors: Jan, Asif Hussain, Jalal, Tanweer
Format: Journal Article
Language:English
Published: Milan Springer Milan 2024
Springer Nature B.V
Subjects:
Algebra
Algebraic Geometry
Analysis
Banach spaces
Fractional calculus
Geometry
History of Mathematical Sciences
Integral equations
Mathematics
Mathematics and Statistics
Numerical Analysis
Infinite system of integral equations
Secondary 45G1
Banach algebra
Measures of noncompactness
Primary 47H08
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Description
Summary: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