Existence of solution for fractional differential equations involving symmetric fuzzy numbers-Reference-Cited by-同舟云学术

Existence of solution for fractional differential equations involving symmetric fuzzy numbers

Published:2024 Issue:6 Volume:9 Page:14747-14764
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sarwar Muhammad¹²,Jamal Noor¹,Abodayeh Kamaleldin²,Hleili Manel³,Sitthiwirattham Thanin⁴⁵,Promsakon Chanon⁶⁵

Affiliation:

1. Department of Mathematics, Univdersity of malakand, Dir Lower, Pakistan, sarwarswati@gmail.com, noorjamalmphil791@gmail.com

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia, kamal@psu.edu.sa

3. Department of mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk, 71491, Saudi Arabia, mhleili@ut.edu.sa

4. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand, thanin_sit@dusit.ac.th

5. Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand

6. Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand, chanon.p@sci.kmutnb.ac.th

Abstract

<abstract><p>Linear correlated fractional fuzzy differential equations (LCFFDEs) are one of the best tools for dealing with physical problems with uncertainty. The LCFFDEs mostly do not have unique solutions, especially if the basic fuzzy number is symmetric. The LCFFDEs of symmetric basic fuzzy numbers extend to the new system by extension and produce many solutions. The existing literature does not have any criteria to ensure the existence of unique solutions to LCFFDEs. In this study, we will explore the main causes of the extension and the unavailability of unique solutions. Next, we will discuss the existence and uniqueness conditions of LCFFDEs by using the concept of metric fixed point theory. For the useability of established results, we will also provide numerical examples and discuss their unique solutions. To show the authenticity of the solutions, we will also provide 2D and 3D plots of the solutions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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