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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

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

Discontinuity, Nonlinearity, and Complexity 13(2) (2024) 333--349 | DOI:10.5890/DNC.2024.06.011

R. P. Agarwal$^{1}$, H. Leiva$^{2}$, L. Riera$^{2}$, S. Lalvay$^{2}$

$^{1}$ Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., MSC 172, Kingsville, Texas 78363-8202

$^{2}$ Department of Mathematics, School of Mathematical and Computational Sciences, Yachay Tech, San Miguel de Urcuqui-100119, Ecuador

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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.

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