The existence and Hyers-Ulam stability of solution for an impulsive types Ambartsumian equation via \(\Xi\)-Hilfer generalized proportional fractional derivative

zbMath1545.34104MaRDI QIDQ6558061

K. Kanagarajan, Elsayed M. Elsayed, Sreekanth K. Manikandan, D. Vivek

Publication date: 18 June 2024

Published in: Memoirs on Differential Equations and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessUlam-Hyers-Rassias stabilityimpulsiveAmbartsumian equationproportional fractional derivative

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Fixed-point theorems (47H10) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27)

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