Existence of Solutions for Impulsive Neutral Semilinear Evolution Equations with Nonlocal Conditions

Abstract:

Fractional Power Spaces and Karakostas’ Fixed Point Theorem were used to prove the existence and uniqueness of solutions for a semilinear neutral evolution equation with impulses and nonlocal conditions in a Banach space. As an application of our main result, we consider a neutral type Burgers’ equation.

Año de publicación:

2024

Keywords:

• Fractional power spaces
• impulses
• Karakostas’ fixed point theorem
• neutral semilinear evolution equations
• Nonlocal conditions
• Sectorial operators
• Semigroups

Fuente:

scopus