Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 32Citation - Scopus: 33On the Multiparameterized Fractional Multiplicative Integral Inequalities(Springer, 2024) Saleh, Wedad; Lakhdari, Abdelghani; Jarad, Fahd; Meftah, Badreddine; Almatrafi, Mohammed BakheetWe introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature rules involving one, two, and three points. Our results cover both new findings and established ones, offering a holistic framework for comprehending these inequalities. To validate our outcomes, we provide an illustrative example with visual aids. Furthermore, we highlight the practical significance of our discoveries by applying them to special means of real numbers within the realm of multiplicative calculus.Article Citation - WoS: 56Citation - Scopus: 67On Hilfer Generalized Proportional Fractional Derivative(Springer, 2020) Kumam, Poom; Jarad, Fahd; Borisut, Piyachat; Jirakitpuwapat, Wachirapong; Ahmed, IdrisMotivated by the Hilfer and the Hilfer-Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann-Liouville and Caputo generalized proportional fractional derivative. Some important properties of the proposed derivative are presented. Based on the proposed derivative, we consider a nonlinear fractional differential equation with nonlocal initial condition and show that this equation is equivalent to the Volterra integral equation. In addition, the existence and uniqueness of solutions are proven using fixed point theorems. Furthermore, we offer two examples to clarify the results.Article Citation - WoS: 4Citation - Scopus: 4Nonexistence Results of Caputo-Type Fractional Problem(Springer, 2021) Ali, Saeed M.; Abdo, Mohammed S.; Jarad, Fahd; Kassim, Mohammed D.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.Article Citation - WoS: 9Citation - Scopus: 12Existence Theory and Approximate Solution To Prey-Predator Coupled System Involving Nonsingular Kernel Type Derivative(Springer, 2020) Eiman; Shah, Kamal; Jarad, Fahd; Al-Mdallal, Qasem; Alqudah, Manar A.; Abdeljawad, ThabetThis manuscript considers a nonlinear coupled system under nonsingular kernel type derivative. The considered problem is investigated from two aspects including existence theory and approximate analytical solution. For the concerned qualitative theory, some fixed point results are used. While for approximate solution, the Laplace transform coupled with Adomian method is applied. Finally, by a pertinent example of prey-predator system, we support our results. Some graphical presentations are given using Matlab.Article Citation - WoS: 12Citation - Scopus: 13A Study of Boundary Value Problem for Generalized Fractional Differential Inclusion Via Endpoint Theory for Weak Contractions(Springer, 2020) Abdeljawad, Thabet; Kilinc, Gulsen; Belmor, Samiha; Jarad, FahdThis note is concerned with establishing the existence of solutions to a fractional differential inclusion of a psi -Caputo-type with a nonlocal integral boundary condition. Using the concept of the endpoint theorem for phi -weak contractive maps, we investigate the existence of solutions to the proposed problem. An example is provided at the end to clarify the theoretical result.