Chahra KECHAR (2025) Existence, positivity and stability of solutions for frational differential equations. University of souk ahras
Scientific Publications
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Abstract
Fractional di¤erential equations have been extensively investigated in the recent years, due to a wide range of applications in various .elds of sciences and engineering. They are particularly used to describe many physical phenomena.
The objective of this thesis is to study some qualitative properties of solutions for various classes of nonlinear fractional di¤erential equations involving various kinds of fractional derivatives.
For this aim, we convert the given problem into an equivalent integral equation and then use the appropriate .xed point theorems such that the .xed points obtained are the solutions of the given problem. We also provide an illustrative example to each of the considered problems to show the e¤ectiveness of the theoretical results.
Keywords: Fractional di¤erential equations, Fractional integro-di¤erential equations, Frac-tional derivatives, Boundary value problems, Integral condition, p-Laplacian operator, Banach space, Fixed point theorems, Cone, Positive solutions, Existence, Uniqueness, Upper and lower solutions, Ulam stability, Asymptotic stability.
Mathematics Subject Classi.cation: 26A03, 26A33, 34A08, 34A12, 34A37, 34B18, 34B15, 35R11, 37C25, 47H10.
The objective of this thesis is to study some qualitative properties of solutions for various classes of nonlinear fractional di¤erential equations involving various kinds of fractional derivatives.
For this aim, we convert the given problem into an equivalent integral equation and then use the appropriate .xed point theorems such that the .xed points obtained are the solutions of the given problem. We also provide an illustrative example to each of the considered problems to show the e¤ectiveness of the theoretical results.
Keywords: Fractional di¤erential equations, Fractional integro-di¤erential equations, Frac-tional derivatives, Boundary value problems, Integral condition, p-Laplacian operator, Banach space, Fixed point theorems, Cone, Positive solutions, Existence, Uniqueness, Upper and lower solutions, Ulam stability, Asymptotic stability.
Mathematics Subject Classi.cation: 26A03, 26A33, 34A08, 34A12, 34A37, 34B18, 34B15, 35R11, 37C25, 47H10.
Information
| Item Type | Thesis |
|---|---|
| Divisions |
» Laboratory of Computer Science and Mathematics » Faculty of Science and Technology |
| ePrint ID | 5400 |
| Date Deposited | 2025-05-22 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/5400 |
BibTex
@phdthesis{uniusa5400,
title={Existence, positivity and stability of solutions for frational differential equations},
author={Chahra KECHAR},
year={2025},
school={University of souk ahras}
}
title={Existence, positivity and stability of solutions for frational differential equations},
author={Chahra KECHAR},
year={2025},
school={University of souk ahras}
}