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Browsing Matematik Bölümü by Author "Karapınar, Erdal"

Browsing Matematik Bölümü by Author "Karapınar, Erdal"

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  • Fixed Point Theory in Generalized Metric Spaces 
    Karapınar, Erdal; Agarwal, Ravi P. (2022)
    This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and ...
  • Fixed point theory in the setting of (alpha,beta,psi,phi)-interpolative contractions 
    Karapınar, Erdal; Fulga, Andreea; Lopez de Hierro, Antonio Francisco Roldan (2021-07-16)
    In this manuscript we introduce the notion of (alpha,beta,psi,phi)-interpolative contraction that unifies and generalizes significant concepts: Proinov type contractions, interpolative contractions, and ample spectrum ...
  • Fixed points for cyclic orbital generalized contractions on complete metric spaces 
    Karapınar, Erdal; Romaguera, Salvador; Taş, Kenan (Versita, 2013-03)
    We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, ...
  • Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey 
    Karapınar, Erdal; Agarwal, Ravi P.; Yeşilkaya, Seher Sultan; Wang, Chao (2022-09)
    In this paper, we aim to review Meir–Keeler contraction mappings results on various abstract spaces, in particular, on partial metric spaces, dislocated (metric-like) spaces, and M-metric spaces. We collect all significant ...
  • Fractional Differential Equations with Instantaneous Impulses 
    Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim (2023-05-12)
    The aim of this chapter is to prove some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and ...
  • Fractional differential equations with maxima on time scale via Picard operators 
    Karapınar, Erdal; Benkhettou, Nadia; Lazreg, Jamal Eddine; Benchohra, Mouffak (2023)
    In 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 ...
  • Fractional Differential Equations with Non-Instantaneous Impulses 
    Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim (2023-05-12)
    The present chapter deals with some existence, uniqueness, and Ulam stability results for a class of initial and boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous ...
  • Fractional Differential Equations with Retardation and Anticipation 
    Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim (2023)
    In this chapter, we prove some existence and uniqueness results for a class of boundary and terminal value problems for implicit nonlinear k-generalized ψ -Hilfer fractional differential equations involving both retarded ...
  • Fractional order continuity of a time semi-linear fractional diffusion-wave system 
    Phuong, Nguyen Duc; Hoan, Luu Vu Cam; Karapınar, Erdal; Singh, Jagdev; Binh, Ho Duy; Can, Nguyen Huu (2020-12)
    In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion ...
  • Fractional partial random differential equations with infinite delay 
    Heris, Amel; Salim, Abdelkrim; Benchohra, Mouffak; Karapınar, Erdal (2022-06)
    The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic ...
  • FractionalHybridDifferential EquationsandCoupled Fixed-Point Results for α-Admissible F(ψ1, ψ2) − Contractions in M − Metric Spaces 
    Karapınar, Erdal; Shimaa I., Moustafa; Shehata, Ayman; Agarwal, Ravi P. (2020)
    In this paper, we investigate the existence of a unique coupled fixed point for admissible mapping which is of contraction in the context of metric space. We have also shown that the results presented in this paper would ...
  • Frum-ketkov type multivalued operators 
    Karapınar, Erdal; Petruşel, Adrian; Petruşel, Gabriela (2021)
    Let (M, d) be a metric space, X ⊂ M be a nonempty closed subset and K ⊂ M be a nonempty compact subset. By definition, an upper semi-continuous multivalued operator F: X → P (X) is said to be a strong Frum-Ketkov type ...
  • Functional delay random semilinear differential equations 
    Benaissa, Amel; Salim, Abdelkrim; Benchohra, Mouffak; Karapınar, Erdal (2023-06)
    In this paper, we study the existence of integral solutions of a functional differential equation with delay and random effects. We base our arguments on some suitable random fixed point theorem with stochastic domain and ...
  • Generalized (C)-conditions and related fixed point theorems 
    Karapınar, Erdal; Taş, Kenan (Pergamon-Elsevier Science Ltd, 2011-06)
    In this manuscript, the notion of C-condition [K. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] is generalized. Some new fixed ...
  • Generalized (C)-conditions and related fixed point theorems 
    Karapınar, Erdal; Taş, Kenan (2011-06)
    In this manuscript, the notion of C-condition [K. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] is generalized. Some new fixed ...
  • Generalized alpha-psi-contractive type mappings of integral type and related fixed point theorems 
    Karapınar, Erdal; Shahi, Priya; Taş, Kenan (Springer International Publishing, 2014-05-06)
    The aim of this paper is to introduce two classes of generalized alpha-psi-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results ...
  • Global stability results for Volterra–Hadamard random partial fractional integral equations 
    Salim, Abdelkrim; Abbas, Saïd; Benchohra, Mouffak; Karapınar, Erdal (2023-04)
    This 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.
  • Hybrid Fractional Differential Equations 
    Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim (2023-07-11)
    This chapter is devoted to proving some results concerning the existence of solutions for a class of initial and boundary value problems for nonlinear fractional Hybrid differential equations and Generalized Hilfer fractional ...
  • Implicit Fractional Differential Equations 
    Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim (2023-05-12)
    This chapter deals with some existence and Ulam stability results for a class of initial and boundary value problems for differential equations with generalized Hilfer-type fractional derivative in Banach spaces.
  • Impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces 
    Lazreg, Jamal Eddine; Abbas, Said; Benchohra, Mouffak; Karapınar, Erdal (2021-01-01)
    We deal with some impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces. We make use of-α-Geraghty-Type contraction. An illustrative example is the subject of the last section. © 2021 Jamal Eddine ...