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Browsing by Author "Kumar, Anil"

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    Article
    Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses
    (2022) Baleanu, Dumitru; Malik, Muslim; Sajid, Mohammad; Baleanu, Dumitru; 56389
    The main concern of this manuscript is to examine some sufficient conditions under which the fractional order fuzzy delay differential system with the non-instantaneous impulsive condition has a unique solution. We also study the existence of a global solution for the considered system. Fuzzy set theory, Banach fixed point theorem and Non-linear functional analysis are the major tools to demonstrate our results. In last, an example is given to illustrate these analytical results. © 2022 the Author(s), licensee AIMS Press.
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    Article
    Invariant approximation results via common fixed point theorems for generalized weak contraction maps
    (Hindawi Ltd, 2014) Rathee, Savita; Taş, Kenan; Kumar, Anil; Tas, Kenan; 4971
    A common fixed point theorem for generalized (phi,phi,L)(f,g)-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished.