DOAJ Open Access 2024

Existence of extremal solutions for a class of fractional integro-differential equations

H. Kutlay A. Yakar

Abstrak

In the study the existence of solutions of a class of fractional integro-differential equations with boundary conditions was considered. The main tool, we employ, is the conventional monotone iterative technique, which is highly effective method to examine the quantitative and qualitative characteristics of various nonlinear problems. This technique produces monotone sequences whose iterations are unique solutions of the certain linear problems. These bounds converge uniformly to the maximal solutions of the given problems. Some types of coupled solutions are considered to obtain the claim of the main results under suitable conditions.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

H. Kutlay

A. Yakar

Format Sitasi

APA MLA BibTeX

Kutlay, H., Yakar, A. (2024). Existence of extremal solutions for a class of fractional integro-differential equations. https://doi.org/10.31489/2024m3/112-125

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.31489/2024m3/112-125
Akses: Open Access ✓