Yuan, Z., Wang, L., He, W., Cai, N., & Mu, J. (2024). Fractional Neutral Integro-Differential Equations with Neumann-Type Boundary Conditions. Preprints. https://doi.org/10.20944/preprints202404.1413.v1
Chicago/Turabian Style
Yuan, Z., Ning Cai and Jia Mu. 2024 "Fractional Neutral Integro-Differential Equations with Neumann-Type Boundary Conditions" Preprints. https://doi.org/10.20944/preprints202404.1413.v1
Abstract
We primarily investigate the existence of solutions for fractional neutral integro-differential equations subjected to Neumann-type boundary conditions, which is crucial for understanding natural phenomena. Taking into account factors such as neutral type, fractional-order integrals, and fractional-order derivatives, we employ probability density functions, Laplace transforms, and resolvent operators to formulate a well-defined concept of a mild solution for the specified equation. Following this, by integrating fixed point theorems, we establish the existence of mild solutions under more relaxed conditions.
Keywords
Fractional neutral integro-differential equations; Resolvent family; Probability density function; Mild solutions
Subject
Computer Science and Mathematics, Mathematics
Copyright:
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