Browsing by Author "Panjaiyan Karthikeyan"

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    Existence Results for Impulsive Fractional Integrodifferential Equations Involving Integral Boundary Conditions
    (Hindawi Limited, 2022) Kulandhaivel Karthikeyan; Jiraporn Reunsumrit; Panjaiyan Karthikeyan; Sadhasivam Poornima; Dhatchinamoorthy Tamizharasan; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    This research paper is devoted to investigating the existence results for impulsive fractional integrodifferential equations in the form of Atangana - Baleanu - Caputo (ABC) fractional derivative, by using Gronwall-Bellman inequality and Krasnoselskii's fixed point theorem to study the existence and uniqueness of the problem with integral boundary conditions. At the end, the examples are illustrated to verify results. © 2022 Kulandhaivel Karthikeyan et al.
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    Mild solutions for impulsive integro-differential equations involving hilfer fractional derivative with almost sectorial operators
    (MDPI, 2021) Kulandhaivel Karthikeyan; Panjaiyan Karthikeyan; Nichaphat Patanarapeelert; Thanin Sitthiwirattham; N. Patanarapeelert; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: nichaphat.p@sci.kmutnb.ac.th; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    In this manuscript, we establish the mild solutions for Hilfer fractional derivative integrodifferential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this evolution equations and obtain the existence results. In addition, an application is also considered. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.