On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra
In this study, the solvability of a general form of product type of n-classes of 2D-Hadamard–Volterra integral equations in the Banach algebra C1,a×1,b is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in comb...
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/1132501 |
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| author | Mohamed M. A. Metwali Manochehr Kazemi Shami A. M. Alsallami |
| author_facet | Mohamed M. A. Metwali Manochehr Kazemi Shami A. M. Alsallami |
| author_sort | Mohamed M. A. Metwali |
| collection | DOAJ |
| description | In this study, the solvability of a general form of product type of n-classes of 2D-Hadamard–Volterra integral equations in the Banach algebra C1,a×1,b is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of noncompactness. This forms a generalization of the Schauder, Darbo, and classical Petryshyn’s F.P.T. The problem under study encompasses various integral equations, as different special cases have been previously investigated in the literature. Finally, we present several illustrative examples to validate our underlying assumptions. |
| format | Article |
| id | doaj-art-195a8e0daa7942f4b9cbc6efb2cd3563 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-195a8e0daa7942f4b9cbc6efb2cd35632025-08-20T02:45:49ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/1132501On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach AlgebraMohamed M. A. Metwali0Manochehr Kazemi1Shami A. M. Alsallami2Department of MathematicsDepartment of MathematicsMathematics DepartmentIn this study, the solvability of a general form of product type of n-classes of 2D-Hadamard–Volterra integral equations in the Banach algebra C1,a×1,b is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of noncompactness. This forms a generalization of the Schauder, Darbo, and classical Petryshyn’s F.P.T. The problem under study encompasses various integral equations, as different special cases have been previously investigated in the literature. Finally, we present several illustrative examples to validate our underlying assumptions.http://dx.doi.org/10.1155/jom/1132501 |
| spellingShingle | Mohamed M. A. Metwali Manochehr Kazemi Shami A. M. Alsallami On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra Journal of Mathematics |
| title | On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra |
| title_full | On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra |
| title_fullStr | On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra |
| title_full_unstemmed | On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra |
| title_short | On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra |
| title_sort | on the solution of n product of 2d hadamard volterra integral equations in banach algebra |
| url | http://dx.doi.org/10.1155/jom/1132501 |
| work_keys_str_mv | AT mohamedmametwali onthesolutionofnproductof2dhadamardvolterraintegralequationsinbanachalgebra AT manochehrkazemi onthesolutionofnproductof2dhadamardvolterraintegralequationsinbanachalgebra AT shamiamalsallami onthesolutionofnproductof2dhadamardvolterraintegralequationsinbanachalgebra |