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Khatoon, Areefa; Raheem, Abdur; Afreen, Asma

Method of time-discretization to a multiterm nonlinear retarded differential equation. (English) Zbl 1518.34078

J. Integral Equations Appl. 34, No. 4, 449-464 (2022).
Summary: We study the existence of a strong solution for a class of second-order nonlinear retarded differential equations involving a lower-order fractional term. We prove the existence result by using Rothe’s time-discretization method. We also provide some examples to examine the existence of solutions for a class of second-order fractional differential equations.

Cited in 2 Documents

MSC:

34K30 Functional-differential equations in abstract spaces
34K37 Functional-differential equations with fractional derivatives
39A12 Discrete version of topics in analysis

Keywords:

Caputo fractional derivative; deviated arguments; \(m\)-accretive operator; Rothe’s method; strong solution
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References:

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