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Keywords = q-rung orthopair fuzzy mapping

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12 pages, 317 KB  
Article
Existence Results for Nonlinear Fractional Differential Inclusions via q-ROF Fixed Point
by Lariab Shahid, Maliha Rashid, Akbar Azam and Faryad Ali
Fractal Fract. 2023, 7(1), 41; https://doi.org/10.3390/fractalfract7010041 - 30 Dec 2022
Cited by 4 | Viewed by 1742
Abstract
Fractional Differential inclusions, the multivalued version of fractional differential equations, yellow play a vital role in various fields of applied sciences. In the present article, a class of q-rung orthopair fuzzy (q-ROF) set valued mappings along with q-ROF upper/lower semi-continuity [...] Read more.
Fractional Differential inclusions, the multivalued version of fractional differential equations, yellow play a vital role in various fields of applied sciences. In the present article, a class of q-rung orthopair fuzzy (q-ROF) set valued mappings along with q-ROF upper/lower semi-continuity have been introduced. Based on these ideas, existence theorems for a numerical solution of a distinct class of fractional differential inclusions have been achieved with the help of Schaefer type and Banach contraction fixed point theorems. A physical example is also provided to validate the hypothesis of the main results. The notion of q-rung orthopair fuzzy mappings along with the use of fixed point techniques and a new-fangled Caputo type fractional derivative are the principal novelty of this article. Full article
(This article belongs to the Special Issue Feature Papers for Numerical and Computational Methods Section)
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