Article
Mild solutions for perturbed evolution equations with finite state-dependent delay
Authors
Abstract
In this paper, we give sufficient conditions when the solution is depending on an finite delay to get the existence of mild solutions for two classes of first order perturbed semilinear functional and neutral functional fractional evolution equations by using the nonlinear alternative of Frigon and Granas for contractions maps in Frechet spaces. An example is provide to illustrate the theory.
Keywords
Perturbed semilinear functional equations, neutral problem, mild solution, state -dependent delay, fixed point, nonlinear alternative, semigroup theory, Frechet spaces, finite delay
Citation
Aouad, D. (2023). Mild solutions for perturbed evolution equations with finite state-dependent delay. Turkish Journal of Computer and Mathematics Education, 14(2), 10–22.
D. Aouad, “Mild solutions for perturbed evolution equations with finite state-dependent delay,” Turkish Journal of Computer and Mathematics Education, vol. 14, no. 2, pp. 10–22, 2023.
Aouad D. Mild solutions for perturbed evolution equations with finite state-dependent delay. Turkish Journal of Computer and Mathematics Education. 2023;14(2):10–22.
Aouad, D. (2023), ‘Mild solutions for perturbed evolution equations with finite state-dependent delay’, Turkish Journal of Computer and Mathematics Education, 14(2), pp. 10–22.
Aouad, Djillali. “Mild Solutions for Perturbed Evolution Equations with Finite State-dependent Delay.” Turkish Journal of Computer and Mathematics Education, vol. 14, no. 2, 2023, pp. 10–22.
Aouad, Djillali. “Mild Solutions for Perturbed Evolution Equations with Finite State-dependent Delay.” Turkish Journal of Computer and Mathematics Education 14, no. 2 (2023): 10–22.
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Published by: Engineering Journals
