Browsing by Author "Darzi, R."

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Fractional Hybrid Initial Value Problem Featuring Q-Derivatives
(Comenius Univ, 2019) Baleanu, Dumitru; Darzi, R.; Agheli, Bahram; 56389
We have perused about the existence of a solution toward hybrid initial value problem (HIVP) featuring fractional q-derivative {D-q(delta)[v(t)/h(t,v(t) max(0 <=tau <= t)vertical bar v(t)vertical bar] rho(t, v(t)), t is an element of(0,1), 0 < delta <= 1`, in which D-q(delta) denotes the Riemann-Liouville fractional q-derivative in the order of delta. In Banach algebra, by making use of a fi xed point theorem based Dhage along with mixed Lipschitz and Caratheodory condition, a way of solving the above fractional Hybrid initial value problem (FHIVP) featuring q-derivatives veri fi ed, in this study.
Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems
(Hindawi LTD, 2013) Baleanu, Dumitru; Mohammadzadeh, B.; Neamaty, A.; Baleanu, Dumitru; 56389
We apply the lower and upper solutions method and fixed-point theorems to prove the existence of positive solution to fractional boundary value problem D(0+)(alpha)u(t) + f(t, u(t)) = 0, 0 < t < 1, 2 < alpha <= 3, u(0) = u'(0) = 0, D-0(alpha-1),u(1) = beta u(xi), 0 < xi < 1, where D-0+(alpha) denotes Riemann-Liouville fractional derivative, beta is positive real number, beta xi(alpha-1) >= 2 Gamma(alpha), and f is continuous on [0, 1] x [0,infinity). As an application, one example is given to illustrate the main result.
On the existence and uniqueness of solution of a nonlinear fractional differential equations
(2013) Baleanu, Dumitru; Mohammadzadeh, B.; Neamaty, A.; Baleanu, Dumitru; 56389
In this paper, we investigate the existence and uniqueness of solution for fractional boundary value problem for nonlinear fractional differential equation, where D0α denotes Caputo derivative of order by using the fixed point theory. We apply the contraction mapping principle and Krasnoselskii's fixed point theorem to obtain some new existence and uniqueness results. Two examples are given to illustrate the main results.