Browsing by Author "Sadam Hussain"

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    Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions
    (Elsevier Ltd, 2024) Sadam Hussain; Muhammad Sarwar; Kamaleldin Abodayeh; Chanon Promsakon; Thanin Sitthiwirattham; M. Sarwar; Department of Mathematics, University of Malakand, Dir Lower, Pakistan; email: sarwar@uom.edu.pk; C. Promsakon; Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand; email: chanon.p@sci.kmutnb.ac.th
    In this paper, the controllability for Hilfer fractional neutral stochastic differential equations with infinite delay and nonlocal conditions has been investigated. Using concepts from fractional calculus, semigroup of operators, fixed-point theory, measures of noncompactness, and stochastic theory the main controllability conclusion is attained. The applications of the key findings are finally illustrated with two examples. © 2024 The Author(s)
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    Controllability of semilinear noninstantaneous impulsive neutral stochastic differential equations via Atangana-Baleanu Caputo fractional derivative
    (Elsevier B.V., 2024) Muhammad Sarwar; Sadam Hussain; Kamaleldin Abodayeh; Sawitree Moonsuwan; Thanin Sitthiwirattham; M. Sarwar; Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, 18000, Pakistan; email: sarwarswati@gmail.com; S. Moonsuwan; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: sawitree_moo@dusit.ac.th
    This study mainly concerns the controllability of semilinear noninstantaneous impulsive neutral stochastic differential equations via the Atangana-Baleanu (AB) Caputo fractional derivative (FD). The essential findings are created using methods and concepts from semigroup theory, stochastic theory, fractional calculus, K-set contraction, and measure of noncompactness. Finally, an example is provided to demonstrate the applications of the key findings. © 2024 The Author(s)