Solution of Implicit Fractional Differential Equation in the Setting of New Perturbed Spaces

Authors

  • Amit Gangwar Department of Mathematics, Bharat Institute of Engineering and Technology, Hyderabad, Telangana 500008, India; Department of Mathematics, H.N.B. Garhwal University, Sinagar(Garhwal), Uttarakhand 246174, India
  • Haitham Qawaqneh Department of Basic Sciences, Al-Zaytoonah University of Jordan, Amman 11733, Jordan
  • R.C. Dimri Department of Mathematics, H.N.B. Garhwal University, Sinagar(Garhwal), Uttarakhand 246174, India
  • Hassen Aydi Universite de Sousse, Institut Superieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

DOI:

https://doi.org/10.19139/soic-2310-5070-3164

Keywords:

Metric space, S -metric space, perturbed mapping, perturbed S -metric space.

Abstract

Distance error between two points, which arises from various causes directly impact measurement accuracy. Although these errors may seem small individually, their cumulative effect can lead to significant discrepancies. Considering this, we introduce the concept of perturbed $S$-metric spaces and present a noteworthy generalization of fixed points theorems in this context. Also, we prove existence and uniqueness of a solution for a deformable fractional order implicit differential equation.

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Published

2026-04-07

How to Cite

Gangwar, A., Qawaqneh, H., Dimri, R., & Aydi, H. (2026). Solution of Implicit Fractional Differential Equation in the Setting of New Perturbed Spaces. Statistics, Optimization & Information Computing, 16(1), 378–388. https://doi.org/10.19139/soic-2310-5070-3164

Issue

Vol. 16 No. 1 (2026)

Section

Research Articles

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