A THEORETICAL ANALYSIS ON THE FRACTIONAL FUZZY CONTROLLED EVOLUTION EQUATION-Reference-Cited by-同舟云学术

A THEORETICAL ANALYSIS ON THE FRACTIONAL FUZZY CONTROLLED EVOLUTION EQUATION

Published:2023-01 Issue:10 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

SALEEM NAEEM¹^ORCID,SHAFQAT RAMSHA²^ORCID,GEORGE RENY³^ORCID,HUSSAIN AZHAR⁴^ORCID,YASEEN MUHAMMAD⁵^ORCID

Affiliation:

1. Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

2. Department of Mathematics and Statistics, University of Lahore, Sargodha 40100, Pakistan

3. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

4. Department of Mathematics, University of Chakwal, Chakwal 48800, Pakistan

5. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

Abstract

This paper designates two important properties of the existence-uniqueness of the mild solution for a fractional controlled fuzzy evolution equation involving the Caputo-derivative by using nonlocal conditions, where [Formula: see text], and it is formulated as [Formula: see text] where [Formula: see text] is a strongly continuous fuzzy semigroup’s generator. Furthermore, many numerical solutions have been presented to ensure that key results are accurate and reliable. Finally, an example about fuzzy fractional evolution equations is presented.

Funder

Prince Sattam bin Abdulaziz University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X2340090X

Reference34 articles.

1. Fractional Calculus

2. On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions

3. Basic theory of fractional differential equations

4. Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions

5. On the concept of solution for fractional differential equations with uncertainty

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