DOAJ Open Access 2024

A Numerical Scheme and Application to the Fractional Integro-Differential Equation Using Fixed-Point Techniques

Arul Joseph Gnanaprakasam Balaji Ramalingam Gunaseelan Mani Ozgur Ege Reny George

Abstrak

In this paper, we introduce the notion of orthogonal <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>–<i>F</i>–convex contraction mapping and prove some fixed-point theorems for self-mapping in orthogonal complete metric spaces. The proven results generalize and extend some of the well-known results in the literature. Following the derivation of these fixed-point results, we propose a solution for the fractional integro-differential equation, utilizing the fixed-point technique within the context of orthogonal complete metric spaces.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (5)

Arul Joseph Gnanaprakasam

Balaji Ramalingam

Gunaseelan Mani

Ozgur Ege

Reny George

Format Sitasi

APA MLA BibTeX

Gnanaprakasam, A.J., Ramalingam, B., Mani, G., Ege, O., George, R. (2024). A Numerical Scheme and Application to the Fractional Integro-Differential Equation Using Fixed-Point Techniques. https://doi.org/10.3390/fractalfract8010034

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.3390/fractalfract8010034
Akses: Open Access ✓