WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 2Citation - Scopus: 2On Periodic Solutions for Implicit Nonlinear Caputo Tempered Fractional Differential Problems(de Gruyter Poland Sp Z O O, 2024) Bouriah, Soufyane; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, ErdalThe main goal of this article is to study the existence and uniqueness of periodic solutions for the implicit problem with nonlinear fractional differential equation involving the Caputo tempered fractional derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the efficiency of the stated result, two illustrative examples will be demonstrated.Article Citation - WoS: 1Fractional Sturm-Liouville Operators on Compact Star Graphs(de Gruyter Poland Sp Z O O, 2024) Mutlu, Gokhan; Ugurlu, EkinIn this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders alpha i {\alpha }_{i} of the fractional derivatives on the ith edge lie in ( 0 , 1 ) (0,1) . Our main objective is to introduce quantum graph Hamiltonians incorporating fractional-order derivatives. To this end, we construct a fractional Sturm-Liouville operator on a compact star graph. We impose boundary conditions that reduce to well-known Neumann-Kirchhoff conditions and separated conditions at the central vertex and pendant vertices, respectively, when alpha i -> 1 {\alpha }_{i}\to 1 . We show that the corresponding operator is self-adjoint. Moreover, we investigate a discontinuous boundary value problem involving a fractional Sturm-Liouville operator on a compact metric graph containing a common edge between the central vertices of two star graphs. We construct a new Hilbert space to show that the operator corresponding to this fractional-order transmission problem is self-adjoint. Furthermore, we explain the relations between the self-adjointness of the corresponding operator in the new Hilbert space and in the classical L 2 {L}<^>{2} space.Article Citation - WoS: 32Citation - Scopus: 31On Parameterized Inequalities for Fractional Multiplicative Integrals(de Gruyter Poland Sp Z O O, 2024) Meftah, Badreddine; Xu, Hongyan; Jarad, Fahd; Lakhdari, Abdelghani; Zhu, Wen ShengIn this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively s s -convex mappings. These inequalities include new discoveries and improvements upon some well-known results. Finally, we provide an illustrative example with graphical representations, along with some applications to special means of real numbers within the domain of multiplicative calculus.Article Global Optimization and Applications To a Variational Inequality Problem(de Gruyter Poland Sp Z O O, 2021) Adeel, Muhammad; Aydi, Hassen; Baleanu, Dumitru; Hussain, AzharIn the present paper, we study the existence and convergence of the best proximity point for cyclic Theta-contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.Article Citation - WoS: 12Citation - Scopus: 24Characterizations of Quasi-Metric and G-Metric Completeness Involving W-Distances and Fixed Points(de Gruyter Poland Sp Z O O, 2022) Romaguera, Salvador; Tirado, Pedro; Karapinar, Erdal; Karaplnar, ErdalInvolving w-distances we prove a fixed point theorem of Caristi-type in the realm of (non -necessarily T-1) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. Our approach allows us to retrieve several key examples occurring in various fields of mathematics and computer science and that are modeled as non-T-1 quasi-metric spaces. As an application, we deduce a characterization of complete G-metric spaces in terms of a weak version of Caristi's theorem that involves a G-metric version of w-distances.Article Citation - WoS: 4Citation - Scopus: 5A New Analytical Method To Simulate the Mutual Impact of Space-Time Memory Indices Embedded in (1(de Gruyter Poland Sp Z O O, 2022) Jaradat, Imad; Alquran, Marwan; Baleanu, Dumitru; Makhadmih, MohammadIn the present article, we geometrically and analytically examine the mutual impact of space-time Caputo derivatives embedded in (1 + 2)-physical models. This has been accomplished by integrating the residual power series method (RPSM) with a new trivariate fractional power series representation that encompasses spatial and temporal Caputo derivative parameters. Theoretically, some results regarding the convergence and the error for the proposed adaptation have been established by virtue of the Riemann-Liouville fractional integral. Practically, the embedding of Schrodinger, telegraph, and Burgers' equations into higher fractional space has been considered, and their solutions furnished by means of a rapidly convergent series that has ultimately a closed-form fractional function. The graphical analysis of the obtained solutions has shown that the solutions possess a homotopy mapping characteristic, in a topological sense, to reach the integer case solution where the Caputo derivative parameters behave similarly to the homotopy parameters. Altogether, the proposed technique exhibits a high accuracy and high rate of convergence.Article Citation - WoS: 4Citation - Scopus: 5On the Convergence, Stability and Data Dependence Results of the Jk Iteration Process in Banach Spaces(de Gruyter Poland Sp Z O O, 2023) Saleem, Naeem; Bilal, Hazrat; Ahmad, Junaid; Ibrar, Muhammad; Jarad, Fahd; Ullah, KifayatThis article analyzes the JK iteration process with the class of mappings that are essentially endowed with a condition called condition (E). The convergence of the iteration toward a fixed point of a specific mapping satisfying the condition (E) is obtained under some possible mild assumptions. It is worth mentioning that the iteration process JK converges better toward a fixed point compared to some prominent iteration processes in the literature. This fact is confirmed by a numerical example. Furthermore, it has been shown that the iterative scheme JK is stable in the setting of generalized contraction. The data dependence result is also established. Our results are new in the iteration theory and extend some recently announced results of the literature.Article Citation - WoS: 12Citation - Scopus: 11Efficient Fixed-Point Iteration for Generalized Nonexpansive Mappings and Its Stability in Banach Spaces(de Gruyter Poland Sp Z O O, 2022) Karapinar, Erdal; Hussain, Aftab; Cholamjiak, Prasit; Ali, DanishThe aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of uniformly convex Banach spaces. In addition, we discuss the stability of the solution under mild conditions. Further, we provide some numerical examples to indicate that the proposed method works properly.Article A Symbolic Approach To Multiple Hurwitz Zeta Values at Non-Positive Integers(de Gruyter Poland Sp Z O O, 2023) Jarad, Fahd; Adjabi, Yacine; Turkan, Erkan Murat; Sadaoui, BoualemIn this article, we give another method to calculate the values of multiple Hurwitz zeta function at non-positive integers by means of Raabe's formula and the Bernoulli numbers and we simplify these values by symbolic computation techniques.Article Citation - WoS: 7Citation - Scopus: 7New (P, Q)-Estimates for Different Types of Integral Inequalities Via (Α, M)-Convex Mappings(de Gruyter Poland Sp Z O O, 2020) Latif, Muhammad Amer; Rashid, Saima; Baleanu, Dumitru; Chu, Yu-Ming; Kalsoom, HumairaIn the article, we present a new (p, q)-integral identity for the first-order (p, q)-differentiable functions and establish several new (p, q)-quantum error estimations for various integral inequalities via (a alpha, m)-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.