Analysis of a Fractional-Order Quadratic Functional Integro-Differential Equation with Nonlocal Fractional-Order Integro-Differential Condition
Here, we center on the solvability of a fractional-order quadratic functional integro-differential equation with a nonlocal fractional-order integro-differential condition in the class of continuous functions. The maximal and minimal solutions will be discussed. The continuous dependence of the solu...
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| Format: | Article |
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MDPI AG
2023-08-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/8/788 |
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| author | Ahmed M. A. El-Sayed Antisar A. A. Alhamali Eman M. A. Hamdallah |
| author_facet | Ahmed M. A. El-Sayed Antisar A. A. Alhamali Eman M. A. Hamdallah |
| author_sort | Ahmed M. A. El-Sayed |
| collection | DOAJ |
| description | Here, we center on the solvability of a fractional-order quadratic functional integro-differential equation with a nonlocal fractional-order integro-differential condition in the class of continuous functions. The maximal and minimal solutions will be discussed. The continuous dependence of the solutions on a few parameters will be examined. Finally, the problems of conjugate orders and integer orders, and some other problems and remarks will be discussed and presented. |
| first_indexed | 2024-03-11T00:07:46Z |
| format | Article |
| id | doaj.art-b4c4ee5c1e2f49b3ae0b5cd9c3c8b302 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T00:07:46Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-b4c4ee5c1e2f49b3ae0b5cd9c3c8b3022023-11-19T00:15:16ZengMDPI AGAxioms2075-16802023-08-0112878810.3390/axioms12080788Analysis of a Fractional-Order Quadratic Functional Integro-Differential Equation with Nonlocal Fractional-Order Integro-Differential ConditionAhmed M. A. El-Sayed0Antisar A. A. Alhamali1Eman M. A. Hamdallah2Faculty of Science, Alexandria University, Alexandria 21521, EgyptFaculty of Science, Al Zaytona University, Misrata 51, LibyaFaculty of Science, Alexandria University, Alexandria 21521, EgyptHere, we center on the solvability of a fractional-order quadratic functional integro-differential equation with a nonlocal fractional-order integro-differential condition in the class of continuous functions. The maximal and minimal solutions will be discussed. The continuous dependence of the solutions on a few parameters will be examined. Finally, the problems of conjugate orders and integer orders, and some other problems and remarks will be discussed and presented.https://www.mdpi.com/2075-1680/12/8/788Caputo fractional derivativefractional-order integro-differential equationsconjugate-order integro-differential equationsSchauder fixed-point theoremmaximal and minimal solutionscontinuous dependence |
| spellingShingle | Ahmed M. A. El-Sayed Antisar A. A. Alhamali Eman M. A. Hamdallah Analysis of a Fractional-Order Quadratic Functional Integro-Differential Equation with Nonlocal Fractional-Order Integro-Differential Condition Axioms Caputo fractional derivative fractional-order integro-differential equations conjugate-order integro-differential equations Schauder fixed-point theorem maximal and minimal solutions continuous dependence |
| title | Analysis of a Fractional-Order Quadratic Functional Integro-Differential Equation with Nonlocal Fractional-Order Integro-Differential Condition |
| title_full | Analysis of a Fractional-Order Quadratic Functional Integro-Differential Equation with Nonlocal Fractional-Order Integro-Differential Condition |
| title_fullStr | Analysis of a Fractional-Order Quadratic Functional Integro-Differential Equation with Nonlocal Fractional-Order Integro-Differential Condition |
| title_full_unstemmed | Analysis of a Fractional-Order Quadratic Functional Integro-Differential Equation with Nonlocal Fractional-Order Integro-Differential Condition |
| title_short | Analysis of a Fractional-Order Quadratic Functional Integro-Differential Equation with Nonlocal Fractional-Order Integro-Differential Condition |
| title_sort | analysis of a fractional order quadratic functional integro differential equation with nonlocal fractional order integro differential condition |
| topic | Caputo fractional derivative fractional-order integro-differential equations conjugate-order integro-differential equations Schauder fixed-point theorem maximal and minimal solutions continuous dependence |
| url | https://www.mdpi.com/2075-1680/12/8/788 |
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