Investigation of an implicit Hadamard fractional differential equation with Riemann-Stieltjes integral boundary condition-Reference-Cited by-同舟云学术

Investigation of an implicit Hadamard fractional differential equation with Riemann-Stieltjes integral boundary condition

Published:2022-08-01 Issue:4 Volume:72 Page:925-934
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Abbas Mohamed I.¹,Fečkan Michal²³

Affiliation:

1. Department of Mathematics and Computer Science Faculty of Science Alexandria University Alexandria Alexandria 21511 Egypt

2. Department of Mathematical Analysis and Numerical Mathematics Faculty of Mathematics, Physics and Informatics Comenius University in Bratislava Mlynskà dolina , 842 48 Bratislava Slovakia

3. Mathematical Institute, Slovak Academy of Sciences Štefánikova 49, 814 73 Bratislava Slovakia

Abstract

Abstract Anew class of implicit Hadamard fractional differential equations with Riemann-Stieltjes integral boundary conditions is studied in this research paper. The existence and uniqueness results of the aforesaid problem are investigated using Schauder’s fixed point theorem and Banach’s contraction mapping principle. A simulative example is given to highlight the acquired outcomes.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0063/pdf

Reference23 articles.

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