Existence and Uniqueness of Solution of Hadamard-Type Temporal Fractional Equations and Numerical Application Using the SBA Plus Method

The work addressed in this article consists in guaranteeing the existence and uniqueness of solutions for Cauchy problems involving fractional Hadamard differential equations. Our results are based on the classical Weissinger fixed-point theorem. Finally, we present three examples of solutions using the SBA plus method.

Authors

Institutions

Publication Details

Journal
Journal of Advances in Mathematics and Computer Science
Published
2024-09-20
DOI
https://doi.org/10.9734/jamcs/2024/v39i91929
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Existence and Uniqueness of Solution of Hadamard-Type Temporal Fractional Equations and Numerical Application Using the SBA Plus Method

Bakari Abbo, Germain KABORE, Ousséni SO, Oumar MADAI
Journal of Advances in Mathematics and Computer Science
Fractional Differential Equations Solutions
article

Existence and Uniqueness of Solution of Hadamard-Type Temporal Fractional Equations and Numerical Application Using the SBA Plus Method

Bakari Abbo, Germain KABORE, Ousséni SO, Oumar MADAI
article en

Abstract

The work addressed in this article consists in guaranteeing the existence and uniqueness of solutions for Cauchy problems involving fractional Hadamard differential equations. Our results are based on the classical Weissinger fixed-point theorem. Finally, we present three examples of solutions using the SBA plus method.

Journal of Advances in Mathematics and Computer ScienceVol. 39(9)
University of N'Djamena (TD)
Openalex Percentile: Top 83%
Fractional Differential Equations Solutions
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.