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...
Existence of solutions to anti-periodic boundary value problem for nonlinear fractional differential equations with impulses.
Existence of solutions to differential inclusions with fractional order and impulses.
Existence of solutions to first-order singular and nonsingular initial value problems.
Existence of solutions to fractional mixed integrodifferential equations with nonlocal initial condition.
Existence of solutions to fractional order ordinary and delay differential equations and applications.