Sotiris K. Ntouyas

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In this paper, we discuss the existence of solutions for a boundary value problem of second order fractional differential inclusions with four-point integral boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory. Full(More)
M. Benchohra, J. R. Graef, J. Henderson and S. K. Ntouyas 1 Department of Mathematics, University of Sidi Bel Abbes BP 89 2000 Sidi Bel Abbes Algeria e-mail: 2 Mathematics Department, University of Tennessee at Chattanooga Chattanooga, TN 37403-2504 USA e-mail: 3 Department of Mathematics, Baylor University Waco, TX(More)
In this paper, we first present an impulsive version of Filippov’s Theorem for first-order neutral functional differential inclusions of the form, d dt [y(t)− g(t, yt)] ∈ F (t, yt), a.e. t ∈ J\{t1, . . . , tm}, y(t+k )− y(tk ) = Ik(y(tk )), k = 1, . . . , m, y(t) = φ(t), t ∈ [−r, 0], where J = [0, b], F is a set-valued map and g is a single-valued function.(More)
Intervals of the parameter λ are determined for which there exist positive solutions for the system of nonlinear differential equations, u(n) + λa(t)f(v) = 0, v(n)+λb(t)g(u) = 0, for 0 < t < 1, and satisfying three-point nonlocal boundary conditions, u(0) = 0, u(0) = 0, . . . , u(n−2)(0) = 0, u(1) = αu(η), v(0) = 0, v(0) = 0, . . . , v(n−2)(0) = 0, v(1) =(More)
This paper studies a boundary value problem of nonlinear fractional differential equations of order q ∈ 1, 2 with three-point integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Our results are new in the sense that the nonlocal parameter in three-point(More)