<p style='text-indent:20px;'>In this paper, we study the existence and uniqueness of mild solutions for neutral delay Hilfer fractional integrodifferential equations with Brownian motion. Sufficient conditions controllability differential motion are established. The required results obtained based on fixed point theorem combined semigroup theory, calculus stochastic analysis. Finally, an ...

Fractional differential equations arise in various fields of science and engineering such as rheology, fluid flows, electrical networks, viscoelasticity, chemical physics, biosciences, signal processing, systems control theory, electrochemistry, mechanics and diffusion processes. Fractional differential equations also serve as an excellent tool for the description of hereditary properties of va...

This paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, existence PC-mild solutions established under condition compact resolvent operator. Furthermore, uniqueness proved in case noncompact

In this paper, we discuss a class of fractional semilinear integrodifferential equations mixed type with delay. Based on the theories resolvent operators, measure noncompactness, and fixed point theorems, establish existence uniqueness global mild solutions for equations. An example is provided to illustrate application our main results.

Abstract: In this paper, Laplace decomposition method is developed to solve linear and nonlinear fractional integrodifferential equations. The proposed method is based on the application of Laplace transform to nonlinear fractional integro-differential equation. The nonlinear term can easily be handled with the help of Adomian polynomials. The fractional derivative is described in the Caputo se...

We prove interior H2s−ε regularity for weak solutions of linear elliptic integrodifferential equations close to the fractional s-Laplacian. The result is obtained via intermediate estimates in Nikol’skii spaces, which are in turn carried out by means of an appropriate modification of the classical translation method by Nirenberg.

Please note that terms and conditions apply. Controllability for the impulsive semilinear fuzzy integrodifferential equations with nonlocal conditions View the table of contents for this issue, or go to the journal homepage for more Abstract. In this paper. we study the controllability for the impulsive semilinear fuzzy integrodifferential control system with nonlocal conditions in by using the...