STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Prabakaran Raghavendran

STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Abstract

The paper focuses on analyzing the Ulam stability and data dependence in fractional integro-differential equations with Caputo-type fractional derivatives. The main aim of the work is to see under which circumstances the solutions remain stably behaved with respect to small perturbations in the initial data and the parameters of the system. Using a nonlinear integral inequality of the Henry-Gronwall kind, four types of stabilities are studied and discussed. From there, several examples are shown that illustrate the theory. Also, there are some graphs to show how the system solutions behave and to depict the sensitive nature of the system concerning input data changes. The results provide valuable insights into the stability aspects of fractional dynamic systems and support existing research in fractional calculus and their applications.

Keywords

References

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems, Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Authors

Prabakaran Raghavendran ^*
0009-0001-7333-6555
India

Publication Date

July 4, 2026

Submission Date

April 18, 2025

Acceptance Date

August 28, 2025

Published in Issue

Year 2026 Volume: 16 Number: 7

IZ

https://izlik.org/JA47SM43KZ

Cite

RIS / Bibtex

APA

Raghavendran, P. (2026). STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. TWMS Journal of Applied and Engineering Mathematics, 16(7), 884-900. https://izlik.org/JA47SM43KZ

AMA

1.Raghavendran P. STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. JAEM. 2026;16(7):884-900. https://izlik.org/JA47SM43KZ

Chicago

Raghavendran, Prabakaran. 2026. “STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics 16 (7): 884-900. https://izlik.org/JA47SM43KZ.

EndNote

Raghavendran P (July 1, 2026) STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. TWMS Journal of Applied and Engineering Mathematics 16 7 884–900.

IEEE

[1]P. Raghavendran, “STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS”, JAEM, vol. 16, no. 7, pp. 884–900, July 2026, [Online]. Available: https://izlik.org/JA47SM43KZ

ISNAD

Raghavendran, Prabakaran. “STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics 16/7 (July 1, 2026): 884-900. https://izlik.org/JA47SM43KZ.

JAMA

1.Raghavendran P. STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. JAEM. 2026;16:884–900.

MLA

Raghavendran, Prabakaran. “STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 7, July 2026, pp. 884-00, https://izlik.org/JA47SM43KZ.

Vancouver

1.Prabakaran Raghavendran. STABILITY ANALYSIS AND DATA SENSITIVITY OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. JAEM [Internet]. 2026 Jul. 1;16(7):884-900. Available from: https://izlik.org/JA47SM43KZ