Nonlocal cauchy problem for delay fractional integrodifferential equations of neutral type

Abstract

This article concerns the existence of mild solutions for the fractional integrodifferential equations of neutral type with finite delay and nonlocal conditions in a Banach space X. The existence of mild solutions is proved by means of measure of noncompactness. As an application, the existence of mild solutions for some integrodifferential equation is obtained.Consider the set

Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses

“…For further detail of such type neutral differential equations we refer the reader to see the papers [3,7,12,15,16] and reference therein. Fractional order functional differential equations originate in several fields of applied mathematics, science and engineering problems.…”

Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions

“…In physical science, the nonlocal condition may be connected with better effect in applications than the classical initial condition since nonlocal conditions are normally more exact for physical estimations than the classical initial condition. For the study of nonlocal problems, we refer to [6][7][8][9][10][11] and references given therein.…”