SCOPUS 2021

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Browsing SCOPUS 2021 by Subject "Almost sectorial operators"

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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.