Existence of solutions for fractional differential inclusions with boundary conditions.
Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions.
Existence of solutions for fractional differential inclusions with nonlocal Riemann-Liouville integral boundary conditions
In this paper, we discuss the existence of solutions for a boundary value problem of fractional differential inclusions with nonlocal Riemann-Liouville integral boundary conditions. Our results include the cases when the multivalued map involved in the problem is (i) convex valued, (ii) lower semicontinuous with nonempty closed and decomposable values and (iii) nonconvex valued. In case (i) we apply a nonlinear alternative of Leray-Schauder type, in the second case we combine the nonlinear alternative...
Existence of solutions for hyperbolic differential inclusions in Banach spaces
In this paper we examine nonlinear hyperbolic inclusions in Banach spaces. With the aid of a compactness condition involving the ball measure of noncompactness we prove two existence theorems. The first for problems with convex valued orientor fields and the second for problems with nonconvex valued ones.
Existence of solutions for impulsive neutral functional differential equations with multiple delays.
Existence of solutions for integrodifferential inclusions in Banach spaces.
Existence of solutions for integrodifferential inclusions in Banach spaces
In this paper we examine nonlinear integrodifferential inclusions defined in a separable Banach space. Using a compactness type hypothesis involving the ball measure of noncompactness, we establish two existence results. One involving convex-valued orientor fields and the other nonconvex valued ones.
Existence of solutions for nonconvex functional differential inclusions.
Existence of solutions for nonconvex second order differential inclusions.
Existence of solutions for nonconvex third order differential inclusions.
Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations.
Existence of solutions for operator inclusions : a unified approach
Existence of solutions for second-order evolution inclusions.
Existence of solutions for some Hammerstein type integro-differential inclusions.
Existence of solutions of abstract fractional impulsive semilinear evolution equations.
Existence of solutions of functional differential inclusions.
Existence of solutions of functional-differential inclusion in nonconvex case
Existence of solutions of generalized fractional differential equation with nonlocal initial condition
This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.
Existence of solutions of impulsive boundary value problems for singular fractional differential systems
A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class of impulsive boundary value problems for singular fractional differential systems in which odd homeomorphism operators (Definition 2.6) are involved. Main results are Theorem 4.1 and Corollary 4.2. The analysis relies on a well known fixed point...
Existence of solutions of the dynamic Cauchy problem on infinite time scale intervals
In the paper, we prove the existence of solutions and Carathéodory’s type solutions of the dynamic Cauchy problem , t ∈ T, x(0) = x₀, where T denotes an unbounded time scale (a nonempty closed subset of R and such that there exists a sequence (xₙ) in T and xₙ → ∞) and f is continuous or satisfies Carathéodory’s conditions and some conditions expressed in terms of measures of noncompactness. The Sadovskii fixed point theorem and Ambrosetti’s lemma are used to prove the main result. The results presented...