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Browsing by Author "Ali, A."

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    Article
    Citation - Scopus: 6
    Computational solutions of conformable space-time derivatives dynamical wave equations: Analytical mathematical techniques
    (Elsevier B.V., 2020) Ali, A.; Baleanu, Dumitru; Seadawy, A.R.; Baleanu, D.; 56389; Matematik
    In this article, the instigator sets up the profuse traveling wave solutions four types of fractional nonlinear equations in the sense of conformable derivatives by using the novel form of modified mathematical technique. The constructed traveling wave solutions are articulated in terms of trigonometric, hyperbolic and exponential functions. The derived results are fruitful for the physical demonstrations of problems in mathematical physics and engineering. © 2020 The Authors
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    Article
    Citation - WoS: 16
    Citation - Scopus: 23
    Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
    (Springer, 2019) Ali, A.; Baleanu, Dumitru; Shah, K.; Baleanu, D.; 56389; Matematik
    In this paper, we derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differential equations (FOIDEs) with some boundary and impulsive conditions. Also we investigate various types of Hyers-Ulam stability (HUS) for our concerned problem. Using classical fixed point theory and nonlinear functional analysis, we obtain the required conditions. In the last section we give an example to show the applicability of our obtained results.