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Browsing by Author "Mallak, Saed F."

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    Citation - WoS: 16
    Citation - Scopus: 19
    Lyapunov Type Inequalities Via Fractional Proportional Derivatives and Application on the Free Zero Disc of Kilbas-Saigo Generalized Mittag-Leffler Functions
    (Springer Heidelberg, 2019) Alzabut, Jehad; Abdeljawad, Thabet; Jarad, Fahd; Mallak, Saed F.; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    .In this article, we prove Lyapunov type inequalities for a nonlocal fractional derivative, called fractional proportional derivative, generated by modified conformable or proportional derivatives in both Riemann-Liuoville and Caputo senses. Further, in the Riemann-Liuoville case we prove a Lyapunov inequality for a fractional proportional weighted boundary value problem and apply it on a weighted Sturm-Liouville problem to estimate an upper bound for the free zero disk of the Kilbas-Saigo Mittag-Leffler functions of three parameters. The proven results generalize and modify previously obtained results in the literature.
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    Citation - WoS: 8
    Citation - Scopus: 9
    Lyapunov Type Inequality in the Frame of Generalized Caputo Derivatives
    (Amer inst Mathematical Sciences-aims, 2021) Abdeljawad, Thabet; Mallak, Saed F.; Alrabaiah, Hussam; Jarad, Fahd; Adjabi, Yassine; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this paper, we establish the Lyapunov-type inequality for boundary value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An application about the zeros of generalized types of Mittag-Leffler functions is given.