Search Results

Now showing 1 - 2 of 2

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
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: 10
Citation - Scopus: 13
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
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.

Scopus İndeksli Yayınlar Koleksiyonu