Browsing by Author "Manel Hleili"

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    Existence of solution for fractional differential equations involving symmetric fuzzy numbers
    (American Institute of Mathematical Sciences, 2024) Muhammad Sarwar; Noor Jamal; Kamaleldin Abodayeh; Manel Hleili; Thanin Sitthiwirattham; Chanon Promsakon; M. Sarwar; Department of Mathematics, Univdersity of malakand, Dir Lower, Pakistan; email: sarwarswati@gmail.com; C. Promsakon; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: chanon.p@sci.kmutnb.ac.th
    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. © 2024 the Author(s), licensee AIMS Press.