New Oscillation Criteria for a Class of Higher-Order Neutral Functional Dynamic Equations on Time Scales

Wu, Xin; Sun, Taixiang

doi:10.11948/20220051

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2023

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“…Also recently, the problem of existence and uniqueness for fractional dynamic equations and associated initial and boundary value problems have been studied and some results appeared in the literature [15,23,11].…”

Section: Introductionmentioning

confidence: 99%

Existence and uniqueness result for fractional dynamic equations on metric-like spaces

2023

Advances in the Theory of Nonlinear Analysis and Its Application

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The problem of existence and uniqueness of solutions of initial value problems associated with a nonlinear fractional dynamic equation of Caputo type on an arbitrary time scale of order α > 0 is stated as a fixed point problem on a metric-like space. The initial conditions are assummed to be homogeneous. A theorem on the existence and uniqueness of a solution of the problem is stated and proved. Examples on two different time scales verifying the theoretical findings are presented and numerical computation of several initial terms of the iterative sequence of approximations is included.

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Section: Introductionmentioning

confidence: 99%

Existence and uniqueness result for fractional dynamic equations on metric-like spaces

2023

Advances in the Theory of Nonlinear Analysis and Its Application

View full text Add to dashboard Cite

show abstract

New Oscillation Criteria for a Class of Higher-Order Neutral Functional Dynamic Equations on Time Scales

Cited by 1 publication

References 28 publications

Existence and uniqueness result for fractional dynamic equations on metric-like spaces

Existence and uniqueness result for fractional dynamic equations on metric-like spaces

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