Browsing by Author "Ali, Saeed M."

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Citation Count: Abdo, Mohammed S...et al. (2020). "Existence of positive solutions for weighted fractional order differential equations", Chaos, Solitons and Fractals, Vol. 141.
Existence of positive solutions for weighted fractional order differential equations
(2020) Abdo, Mohammed S.; Abdeljawad, Thabet; Ali, Saeed M.; Shah, Kamal; Jarad, Fahd; 234808
In 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. © 2020 Elsevier Ltd
Citation Count: Kassim, Mohammed D...et al. (2021). "Nonexistence results of Caputo-type fractional problem", ADVANCES IN DIFFERENCE EQUATIONS, Vol. 2021, No. 1.
Nonexistence results of Caputo-type fractional problem
(2021) Kassim, Mohammed D.; Ali, Saeed M.; Abdo, Mohammed S.; Jarad, Fahd; 234808
In this paper, we deal with Caputo-type fractional differential inequality where there is a low-order fractional derivative with the term polynomial source. We investigate the nonexistence of nontrivial global solutions in a suitable space via the test function technique and some properties of fractional integrals. Finally, we demonstrate three examples to illustrate our results. The presented results are more general than those in the literature, which can be obtained as particular cases.