Browsing by Author "Afshari, Hojjat"

Now showing 1 - 5 of 5

Citation - WoS: 19
Citation - Scopus: 22
A discussion on a generalized Geraghty multi-valued mappings and applications
(Springer, 2020) Afshari, Hojjat; Karapınar, Erdal; Atapour, Maryam; Karapinar, Erdal; 19184; Matematik
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: 19
Citation - Scopus: 27
Applications of Some Fixed Point Theorems for Fractional Differential Equations With Mittag-Leffler Kernel
(Springer, 2020) Afshari, Hojjat; Baleanu, Dumitru; Baleanu, Dumitru; 56389; Matematik
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: 4
Citation - Scopus: 7
Existence and uniqueness of positive solutions for a new class of coupled system via fractional derivatives
(Springer, 2020) Afshari, Hojjat; Baleanu, Dumitru; Sajjadmanesh, Mojtaba; Baleanu, Dumitru; 56389; Matematik
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: 8
Citation - Scopus: 11
On a new fixed point theorem with an application on a coupled system of fractional differential equations
(Springer, 2020) Jarad, Fahd; Afshari, Hojjat; Jarad, Fahd; Abdeljawad, Thabet; Abdeljawad, Thabet; 234808; Matematik
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 alpha - psi-Geraghty type mappings
(Pushpa Publishing House, 2018) Afshari, Hojjat; Baleanu, Dumitru; Kalantari, Sabileh; Baleanu, Dumitru; 56389; Matematik
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.