IJSMT Journal

International Journal of Science, Strategic Management and Technology

An International, Peer-Reviewed, Open Access Scholarly Journal Indexed in recognized academic databases · DOI via Crossref The journal adheres to established scholarly publishing, peer-review, and research ethics guidelines set by the UGC

Submit Research Paper
ISSN: 3108-1762 (Online)
webp (1)

By /
Plagiarism Passed
Peer reviewed
Open Access

OSCILLATION ANALYSIS OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH ADVANCED AND DELAY ARGUMENTS VIA A MONOTONICITY APPROACH

AUTHORS:
Jyoti Thenge-Mashale
Vishal Koli
Manasi Patil
Mentor
Affiliation
DOI: 10.55041/ijsmt.v2i7.052
CC BY 4.0 License:
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
DOWNLOAD ARTICLE REVIEW REPORT CITE THIS ARTICLE
Abstract
In this paper , we investigate the oscillatory behavior of a class of Caputo fractional differen-tial equations involving both advanced and delayed arguments.By establishing novel monotonicity proper-ties of eventually positive solutions,we derive improved sufficient conditions for the nonexistence of positive monotone solutions.New auxiliary functions are introduced to obtain unified monotonicity results without imposing restrictive assumptions on the coefficient functions,thereby extending and strengthening several existing oscillation criteria.The developed approach yields sharper oscillation conditions for both advanced and ratarded fractional differential equations and is further extended to equations containing simultaneously advanced and delayed arguments.Several illustrative examples are presented to demonstrate the effective-ness of the proposed criteria and to highlight the significant improvement over previously known results.The obtained results contribute to the qualitative theory of fractional differential equations and provide a useful framework for the anaiysis of oscillatory behavior in fractional dynamical systems with deviating arguments.
Keywords
Caputo fractional derivative Fractional differential equations Oscillation Advanced argument Delay differential equation Monotonicity Qualitative analysis.
Article Information
PUBLICATION DETAILS
Review Type:
Double-Blind Peer Review
License:
CC BY-NC 4.0
Volume/Issue:
Volume 02, Issue 7
Review Rounds:
2
Article Type:
Research Article
Publication Date:
Jul 10 2026
Article Metrics
Article Views
68
PDF Downloads
0
HOW TO CITE
APA

MLA

Chicago

Copy

Thenge-Mashale, J., Koli, V. & Patil, M. (2026). Oscillation Analysis of Caputo Fractional Differential Equations with Advanced and Delay Arguments via a Monotonicity Approach. International Journal of Science, Strategic Management and Technology, 02(7). https://doi.org/10.55041/ijsmt.v2i7.052

Thenge-Mashale, Jyoti, et al.. "Oscillation Analysis of Caputo Fractional Differential Equations with Advanced and Delay Arguments via a Monotonicity Approach." International Journal of Science, Strategic Management and Technology, vol. 02, no. 7, 2026, pp. . doi:https://doi.org/10.55041/ijsmt.v2i7.052.

Thenge-Mashale, Jyoti,Vishal Koli, and Manasi Patil. "Oscillation Analysis of Caputo Fractional Differential Equations with Advanced and Delay Arguments via a Monotonicity Approach." International Journal of Science, Strategic Management and Technology 02, no. 7 (2026). https://doi.org/https://doi.org/10.55041/ijsmt.v2i7.052.

References

  1. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.

  2. A. Kilbas, H. M. Srivastava and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006.

  3. Diethelm, The Analysis of Fractional Differential Equations, Springer, Berlin, 2010.

  4. G. Samko, A. A. Kilbas and O. I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers, New York, 1993.

  5. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equa-tions, John Wiley & Sons, New York, 1993.

  6. Lakshmikantham, S. Leela and J. Vasundhara Devi, Theory of Fractional Dynamic Systems, Cam-bridge Scientific Publishers, 2009.

  7. P. Agarwal, S. R. Grace and D. O’Regan, Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, 2000.

  8. R. Grace, R. P. Agarwal, P. J. Y. Wong and A. Zafer, On the oscillation of fractional differential equations, Fractional Calculus and Applied Analysis, 13(2010), 225–236.

  9. X. Chen, J. S. Yu and P. Li, Oscillation criteria for nonlinear fractional differential equations with damping, Electronic Journal of Differential Equations, 2013(2013), No. 59, 1–10.

  10. Baleanu, K. Diethelm, E. Scalas and J. J. Trujillo, Fractional Calculus: Models and Numerical Methods, World Scientific, Singapore, 2012.

Ethics and Compliance
✓ All ethical standards met
This article has undergone plagiarism screening and double-blind peer review. Editorial policies have been followed. Authors retain copyright under CC BY-NC 4.0 license. The research complies with ethical standards and institutional guidelines.
Indexed In
Similar Articles
Financial Analysis and Performance Management
string(10) "Harish G.A" G.A, H.
(2026)
DOI: 10.55041/ijsmt.v2i5.492
Experimental Study on Retrofitting of Reinforced Cement Concrete Members using Fiber Reinforced Polymer Wraps
string(14) "Piyush N. Raut" Raut, P. N.et al.
(2026)
DOI: 10.55041/ijsmt.v2i4.330
Crowd-Sourced Traffic Hazard Reporting Application using Real-Time GEO-Location Services
string(13) "S.Yaswanthika" S.Yaswanthika,
(2026)
DOI: 10.55041/ijsmt.v2i3.098
Back to Volume 02, Issue 7
Scroll to Top