A non-linear fractional neutral dynamic equations: existence and stability results on time scales

Kottakkaran Sooppy Nisar; C. Anusha; C. Ravichandran

doi:10.3934/math.2024094

A non-linear fractional neutral dynamic equations: existence and stability results on time scales

Kottakkaran Sooppy Nisar
, C. Anusha
, C. Ravichandran

Mathematics

Bharathiar University

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The outcomes of a nonlinear fractional neutral dynamic equation with initial conditions on time scales are examined in this work using the Riemann-Liouville nabla (∇) derivative. The existence, uniqueness, and stability results for the solution are examined by using standard fixed point techniques. For the result illustration, an example is given along with the graph using MATLAB.

Original language	English
Pages (from-to)	1911-1925
Number of pages	15
Journal	AIMS Mathematics
Volume	9
Issue number	1
DOIs	https://doi.org/10.3934/math.2024094
State	Published - 2024

Keywords

fixed point
neutral differential equations
Riemann-Liouville (RL) ∇-derivative
time scales

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10.3934/math.2024094

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abstract = "The outcomes of a nonlinear fractional neutral dynamic equation with initial conditions on time scales are examined in this work using the Riemann-Liouville nabla (∇) derivative. The existence, uniqueness, and stability results for the solution are examined by using standard fixed point techniques. For the result illustration, an example is given along with the graph using MATLAB.",

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AU - Ravichandran, C.

PY - 2024

Y1 - 2024

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AB - The outcomes of a nonlinear fractional neutral dynamic equation with initial conditions on time scales are examined in this work using the Riemann-Liouville nabla (∇) derivative. The existence, uniqueness, and stability results for the solution are examined by using standard fixed point techniques. For the result illustration, an example is given along with the graph using MATLAB.

KW - fixed point

KW - neutral differential equations

KW - Riemann-Liouville (RL) ∇-derivative

KW - time scales

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A non-linear fractional neutral dynamic equations: existence and stability results on time scales

Abstract

Keywords

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