Browsing by Author "Afshari, Hojjat"

Now showing 1 - 6 of 6

Citation - WoS: 21
Citation - Scopus: 29
Applications of Some Fixed Point Theorems for Fractional Differential Equations With Mittag-Leffler Kernel
(Springer, 2020) Baleanu, Dumitru; Afshari, Hojjat; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
Using some fixed point theorems for contractive mappings, including alpha-gamma-Geraghty type contraction, alpha-type F-contraction, and some other contractions in F-metric space, this research intends to investigate the existence of solutions for some Atangana-Baleanu fractional differential equations in the Caputo sense.
Citation - WoS: 20
Citation - Scopus: 24
A Discussion on a Generalized Geraghty Multi-Valued Mappings and Applications
(Springer, 2020) Atapour, Maryam; Karapinar, Erdal; Afshari, Hojjat; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This research intends to investigate the existence results for both coincidence points and common fixed point of generalized Geraghty multi-valued mappings endowed with a directed graph. The proven results are supported by an example. We also consider fractional integral equations as an application.
Citation - WoS: 90
Citation - Scopus: 109
A Discussion on the Existence of Positive Solutions of the Boundary Value Problems Via Ψ-Hilfer Fractional Derivative on B-Metric Spaces
(Springer, 2020) Karapinar, Erdal; Afshari, Hojjat; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we investigate the existence of positive solutions for the new class of boundary value problems via psi -Hilfer fractional differential equations. For our purpose, we use the alpha-psi Geraghty-type contraction in the framework of the b-metric space. We give an example illustrating the validity of the proved results.
Citation - WoS: 5
Citation - Scopus: 7
Existence and Uniqueness of Positive Solutions for a New Class of Coupled System Via Fractional Derivatives
(Springer, 2020) Sajjadmanesh, Mojtaba; Baleanu, Dumitru; Afshari, Hojjat; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper we study the existence of unique positive solutions for the following coupled system: {Da0 + x(t) + f1(t, x(t), D. 0+ x(t)) + g1(t, y(t)) = 0, D beta 0+ y(t) + f2(t, y(t), D. 0+ y(t)) + g2(t, x(t)) = 0, t. (0, 1), n - 1 < a, beta < n; x(i)(0) = y(i)(0) = 0, i = 0, 1, 2,..., n - 2; [D. 0+ y(t)] t=1 = k1(y(1)), [D. 0+ x(t)] t=1 = k2(x(1)), where the integer number n > 3 and 1 =. =. = n - 2, 1 =. =. = n - 2, f1, f2 : [0, 1] xR+ xR+. R+, g1, g2 : [0, 1] xR+. R+ and k1, k2 : R+. R+ are continuous functions, Da0 + and D beta 0+ stand for the Riemann-Liouville derivatives. An illustrative example is given to show the effectiveness of theoretical results.
Citation - WoS: 9
Citation - Scopus: 12
On a New Fixed Point Theorem With an Application on a Coupled System of Fractional Differential Equations
(Springer, 2020) Abdeljawad, Thabet; Afshari, Hojjat; Jarad, Fahd; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this work, new theorems and results related to fixed point theory are presented. The results obtained are used for the sake of proving the existence and uniqueness of a positive solution of a coupled system of equations that involves fractional derivatives in the Riemann-Liouville settings and is subject to boundary conditions in the form of integrals.
Citation - WoS: 22
Citation - Scopus: 28
Solution of Fractional Differential Equations Via Α - Ψ-Geraghty Type Mappings
(Pushpa Publishing House, 2018) Kalantari, Sabileh; Baleanu, Dumitru; Afshari, Hojjat; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
Using fixed point results of alpha - psi-Geraghty contractive type mappings, we examine the existence of solutions for some fractional differential equations in b-metric spaces. By some concrete examples we illustrate the obtained results.