Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - Scopus: 1Study of Impulsive Problem with Caputo Fractional Derivative Involving Nonlocal Conditions Using Fixed Point Theory(Kyungnam University Press, 2025) Dhandapani, Swathi; Umapathi, Karthik Raja; Mathuraiveeran, Jeyaraman; Shah, Kamal; Abdeljawad (Maraaba) T., Thabet; Jarad, Fahd; Abdeljawad, ThabetIn this article, we study the existence of solutions for an impulsive Caupto fractional differential equations with a class of initial value problem dependence on the Lipschitz first derivative conditions. Our main tool is a Banach's fixed point theorem and Leray-Schauder fixed point theorem. We also investigate the existence of fractional Derivative with non-local conditions. An numerical example is given to clarify the results. © 2025 Elsevier B.V., All rights reserved.Article Citation - WoS: 6Citation - Scopus: 7Fixed Point Results of a New Family of Hybrid Contractions in Generalised Metric Space With Applications(Amer inst Mathematical Sciences-aims, 2022) Jiddah, Jamilu Abubakar; Noorwali, Maha; Shagari, Mohammed Shehu; Rashid, Saima; Jarad, FahdIn this manuscript, a novel general family of contraction, called hybrid-interpolative ReichIstrat,escu-type (G-alpha-mu)-contraction is introduced and some fixed point results in generalised metric space that are not deducible from their akin in metric spaces are obtained. The preeminence of this class of contraction is that its contractive inequality can be extended in a variety of manners, depending on the given parameters. Consequently, a number of corollaries that reduce our result to other wellknown results in the literature are highlighted and analysed. Substantial examples are constructed to validate the assumptions of our obtained theorems and to show their distinction from corresponding results. Additionally, one of our obtained corollaries is applied to set up unprecedented existence conditions for solution of a family of integral equations.Article Citation - WoS: 6Citation - Scopus: 7Fixed Point Results in C*-Algebra Bipolar Metric Spaces With an Application(Amer inst Mathematical Sciences-aims, 2023) Gnanaprakasam, Arul Joseph; Isik, Huseyin; Jarad, Fahd; Mani, GunaseelanIn this work, we prove existence and uniqueness fixed point theorems under Banach and Kannan type contractions on C*-algebra-valued bipolar metric spaces. To strengthen our main results, an appropriate example and an effective application are presented.Article The Hausdorff-Pompeiu Distance in Gn-Menger Fractal Spaces(Mdpi, 2022) Saadati, Reza; Li, Chenkuan; Jarad, Fahd; O'Regan, Donal; O’Regan, DonalThis paper introduces a complete Gn-Menger space and defines the Hausdorff-Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for Gn-Menger-theta-contractions in fractal spaces.Article Citation - WoS: 2Citation - Scopus: 2Fixed Point Theorems for Controlled Neutrosophic Metric-Like Spaces(Amer inst Mathematical Sciences-aims, 2022) Ishtiaq, Umar; Saleem, Naeem; Ahmad, Khaleel; Jarad, Fahd; Uddin, FahimIn this paper, we establish the concept of controlled neutrosophic metric -like spaces as a generalization of neutrosophic metric spaces and provide several non -trivial examples to show the spuriousness of the new concept in the existing literature. Furthermore, we prove several fixed point results for contraction mappings and provide the examples with their graphs to show the validity of the results. At the end of the manuscript, we establish an application to integral equations, in which we use the main result to find the solution of the integral equation.Article Citation - WoS: 7Citation - Scopus: 7Interpolative Contractions and Intuitionistic Fuzzy Set-Valued Maps With Applications(Amer inst Mathematical Sciences-aims, 2022) Rashid, Saima; Jarad, Fahd; Mohamed, Mohamed S.; Shagari, Mohammed ShehuOver time, the interpolative approach in fixed point theory (FPT) has been investigated only in the setting of crisp mathematics, thereby dropping-off a significant amount of useful results. As an attempt to fill up the aforementioned gaps, this paper initiates certain hybrid concepts under the names of interpolative Hardy-Rogers-type (IHRT) and interpolative Reich-Rus-Ciric type (IRRCT) intuitionistic fuzzy contractions in the frame of metric space (MS). Adequate criteria for the existence of intuitionistic fuzzy fixed point (FP) for such contractions are examined. On the basis that FP of a single-valued mapping obeying interpolative type contractive inequality is not always unique, and thereby making the ideas more suitable for FP theorems of multi-valued mappings, a few special cases regarding point-to-point and non-fuzzy set-valued mappings which include the conclusions of some well-known results in the corresponding literature are highlighted and discussed. In addition, comparative examples which dwell on the generality of our obtained results are constructed.Article Citation - WoS: 4Citation - Scopus: 4Solving an Integral Equation Via Orthogonal Generalized Α-Ψ Contractions(Amer inst Mathematical Sciences-aims, 2023) Gnanaprakasam, Arul Joseph; Mani, Gunaseelan; Jarad, Fahd; Prakasam, Senthil KumarIn this paper, we introduce orthogonal generalized O-alpha-psi-Geraghty contractive type mappings and prove some fixed point theorems in O-complete O -b-metric spaces. We also provide an illustrative example to support our theorem. The results proved here will be utilized to show the existence of a solution to an integral equation as an application.Article Citation - WoS: 10Citation - Scopus: 11Chaotic Attractors and Fixed Point Methods in Piecewise Fractional Derivatives and Multi-Term Fractional Delay Differential Equations(Elsevier, 2023) Jarad, Fahd; Panda, Sumati Kumari; Abdeljawad, ThabetUsing generalized cyclic contractions, we establish some fixed point results in controlled rectangular metric spaces. Some subsequent outcomes are obtained. Moreover, some necessary conditions to demonstrate the existence of solutions for the multi-term fractional delay differential equations with wth order and the piecewise equations under the setting of non-singular type derivative are established in this paper. In order to demonstrate the effectiveness of our results, we provided some numerical examples.Article Citation - WoS: 15Citation - Scopus: 18A Study of Symmetric Contractions With an Application To Generalized Fractional Differential Equations(Springer, 2021) Karapinar, Erdal; Hussain, Aftab; Jarad, FahdThis article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these contractions. As an application, we look for the solutions to fractional boundary value problems involving a generalized fractional derivative known as the fractional derivative with respect to another function.