NONLINEAR HILFER COTANGENT PDES: STABILITY ANALYSIS AND APPROXIMATION SOLUTIONS

Sabu Sunmitha; Devaraj Vivek; Abdulah A. Alghamdi; Mohamed M. El-Dessoky; Elsayed Mohamed Elsayed

doi:10.11948/20250206

2026 Volume 16 Issue 5

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Article navigation > Journal of Applied Analysis & Computation > 2026 > 16(5): 2415-2437

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Sabu Sunmitha, Devaraj Vivek, Abdulah A. Alghamdi, Mohamed M. El-Dessoky, Elsayed Mohamed Elsayed. NONLINEAR HILFER COTANGENT PDES: STABILITY ANALYSIS AND APPROXIMATION SOLUTIONS[J]. Journal of Applied Analysis & Computation, 2026, 16(5): 2415-2437. doi: 10.11948/20250206

Citation:

Sabu Sunmitha, Devaraj Vivek, Abdulah A. Alghamdi, Mohamed M. El-Dessoky, Elsayed Mohamed Elsayed. NONLINEAR HILFER COTANGENT PDES: STABILITY ANALYSIS AND APPROXIMATION SOLUTIONS[J]. Journal of Applied Analysis & Computation, 2026, 16(5): 2415-2437. doi: 10.11948/20250206

NONLINEAR HILFER COTANGENT PDES: STABILITY ANALYSIS AND APPROXIMATION SOLUTIONS

1.
Department of Mathematics, PSG College of Arts & Science, Coimbatore-641014, India
2.
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3.
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Author Bio: Email: peppyvivek@gmail.com(D. Vivek); Email: aaalghamdi6@kau.edu.sa(A. A. Alghamdi); Email: mahmed4@kau.edu.sa(M. M. El-Dessoky); Email: emmelsayed@yahoo.com(E. M. Elsayed)
Corresponding author: Email: sabusunmitha98@gmail.com(S. Sunmitha)

Abstract

Abstract

This paper studies a class of Hilfer cotangent partial fractional differential equations. Existence and uniqueness of solutions are established using fixed-point theorems, and approximate solutions are constructed. Stability is analyzed via a fractional Gr$ \ddot{o} $nwall-type inequality, leading to generalized Ulam-Hyers and Ulam-Hyers-Rassias stability results. The findings confirm the well-posedness and stability of the proposed system, and an example illustrates the theoretical results.
- Hilfer fractional derivative /
- fixed point theorem /
- existence and uniqueness /
- Grönwall inequality /
- stability analysis
MSC: 26A33, 35R11, 34A08, 35B35, 47D06

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References

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