Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 21Citation - Scopus: 22Stability Results of Positive Solutions for a System of Ψ -Hilfer Fractional Differential Equations(Pergamon-elsevier Science Ltd, 2021) Panchal, Satish K.; Jarad, Fahd; Almalahi, Mohammed A.The major objective of this work is to investigate sufficient conditions of existence and uniqueness of positive solutions for a finite system of psi-Hilfer fractional differential equations. The gained results are obtained by building the upper and lower control functions of the nonlinear expression with the help of fixed point theorems such as Banach and Schauder. Furthermore, we establish various kinds of Ulam stability results by applying the techniques of nonlinear functional analysis. A pertinent example is provided to corroboration of the results obtained. (C) 2021 Elsevier Ltd. All rights reserved.Article Citation - WoS: 41Citation - Scopus: 46Existence of Positive Solutions for Weighted Fractional Order Differential Equations(Pergamon-elsevier Science Ltd, 2020) Ali, Saeed M.; Shah, Kamal; Jarad, Fahd; Abdo, Mohammed S.; Abdeljawad, ThabetIn this paper, we deliberate two classes of initial value problems for nonlinear fractional differential equations under a version weighted generalized of Caputo fractional derivative given by Jarad et al. (2020a) [25]. We get a formula for the solution through the equivalent fractional integral equations to the proposed problems. The existence and uniqueness of positive solutions have been obtained by using lower and upper solutions. The acquired results are demonstrated by building the upper and lower control functions of the nonlinear term with the aid of Banach and Schauder fixed point theorems. The acquired results are demonstrated by pertinent numerical examples along with the Bashforth Moulton prediction correction scheme and Matlab. (C) 2020 Elsevier Ltd. All rights reserved.Article Citation - WoS: 206Citation - Scopus: 232Controllability of Fractional Evolution Nonlocal Impulsive Quasilinear Delay Integro-Differential Systems(Pergamon-elsevier Science Ltd, 2011) Baleanu, Dumitru; Debbouche, AmarIn this work, the controllability result of a class of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems in a Banach space has been established by using the theory of fractional calculus, fixed point technique and also we introduced a new concept called (alpha, u)-resolvent family. As an application that illustrates the abstract results, an example is given. (C) 2011 Elsevier Ltd. All rights reserved.