Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
Browse
17 results
Search Results
Article Citation - WoS: 4Existence and Uniqueness of Solutions for a Nabla Fractional Boundary Value Problem With Discrete Mittag{leffler Kernel(inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan, 2021) Jonnalagadda, Jagan Mohan; Baleanu, Dumitru; Baleanu, Dumitru; MatematikWe consider a two-point boundary-value problem of order 1 < alpha < 3/2 involving nabla fractional differences with discrete Mittag-Leffler kernels. In [2], the authors obtained an expression for the Green's function of this boundary value problem. We determine an upper bound for the Green's function and derive a Lyapunov-type inequality. Further, we also establish sufficient conditions on existence and uniqueness of solutions for the corresponding nonlinear problem using fixed point theorems.Article Citation - WoS: 12Citation - Scopus: 16Super Metric Spaces(Univ Nis, Fac Sci Math, 2022) Karapinar, Erdal; Khojasteh, FarshidThe aim of this paper is to propose a new generalization of metric space which may open a new framework. As an application, we consider the analog of Banach contraction mapping principle that works properly.Article Citation - Scopus: 1Remarks On Some Generalizations Of θ-Contraction(Univ Politehnica Bucharest, Sci Bull, 2023) Karapınar, Erdal; Cvetkovic, MarijaThe concept of θ-contraction was modified and generalized in several ways during the last decade. Some assumptions concerning the class Θ are shown to be super-fluous in order to obtain a unique fixed point for a θ-type contraction, θ-Suzuki type and, consequently, θ-contraction. Improvement of several previously published results are de-rived with a modified contractive condition and we have presented an example of possible application. The same approach was used for the F-Suzuki contraction and numerous generalizations are made.Article Citation - WoS: 22Citation - Scopus: 30Global Stability Results for Volterra-Hadamard Random Partial Fractional Integral Equations(Springer-verlag Italia Srl, 2023) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Salim, AbdelkrimThis paper investigates the existence and stability of random solutions of a class of Hadamard fractional order functional partial integral equations with random effects in Banach spaces.Article Citation - WoS: 2Citation - Scopus: 5Fractional Differential Equations With Maxima on Time Scale Via Picard Operators(Univ Nis, Fac Sci Math, 2023) Benkhettou, Nadia; Lazreg, Jamal Eddine; Benchohra, Mouffak; Karapinar, ErdalIn this paper, we prove a result of existence and uniqueness of solutions for the following class of problem of initial value for differential equations with maxima and Caputo's fractional order on the time scales:c increment omega a u(& thetasym;) = zeta(& thetasym;, u(& thetasym;), max sigma E[a,& thetasym;] u(sigma)), & thetasym; E J : = [a,b]T, 0 < omega <1,u(a) = phi,We used the techniques of the Picard and weakly Picard operators to obtain some data dependency on the parameters results.Article Citation - WoS: 9Citation - Scopus: 14Study of Γ-Simulation Functions, Zγ-Contractions and Revisiting the L-Contractions(Univ Nis, Fac Sci Math, 2021) Joonaghany, Gh Heidary; Khojasteh, E.; Radenovic, S.; Karapinar, E.; Khojasteh, F.; Heidary Joonaghany, Gh.In this paper, we introduce the notions of Z(Gamma)-contractions and Suzuki Z(Gamma)-contractions via Gamma-simulation functions. By using these new contractions, we extend and unify several existing fixed point results in the corresponding literature. We also show that the recently defined notion of L-simulation function is an special case of Z(Gamma)-contraction. In addition, some notable examples are given to illustrate and support the obtained results.Article Study of Gamma-Simulation Functions, Z(Gamma)-Contractions and Revisiting the L-Contractions(2021) Karapınar, Erdal; Joonaghany, Gh Heidary; Khojasteh, E.In this paper, we introduce the notions of Z(Gamma)-contractions and Suzuki Z(Gamma)-contractions via Gamma-simulation functions. By using these new contractions, we extend and unify several existing fixed point results in the corresponding literature. We also show that the recently defined notion of L-simulation function is an special case of Z(Gamma)-contraction. In addition, some notable examples are given to illustrate and support the obtained results.Article Citation - WoS: 2Citation - Scopus: 3Revisiting the Meir-Keeler Contraction Via Simulation Function(Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Kumam, Poom; Karapinar, ErdalIn this paper, we aim to obtain a fixed point theorem which guarantee the existence of a fixed point for both the continuous and discontinuous mappings that fullfill certain conditions in the context of metric space. We also consider some examples to illustrate our results.Article Citation - WoS: 11Citation - Scopus: 15On Contractions Via Simulation Functions On Extended B-Metric Spaces(Univ Miskolc inst Math, 2020) Karapinar, Erdal; Chifu, CristianIn this paper, we introduce the notion of an admissible extended Z-contraction mapping in the setting of extended b-metric spaces. As an application, we consider Ulam stability problems based on our contractions. The presented results cover several existing results in the literature.Article Citation - WoS: 4Citation - Scopus: 4New Results on Start-Points for Multi-Valued Maps(Mdpi, 2020) Karapinar, Erdal; Petrusel, Adrian; Radenovic, Stojan; Gaba, Yae UlrichIn this manuscript we investigate the existence of start-points for the generalized weakly contractive multi-valued mappings in the setting of left K-complete quasi-pseudo metric space. We provide an example to support the given result.