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

  • Haitham Qawaqneh Department of Mathematics Faculty of IT and Science. Al-Zaytoonah University of Jordan (ZUJ), Jordan.
  • Amit Gangwara Department of Mathematics, Bharat Institute of Engineering and Technology, India.
  • R.C. Dimri Department of Mathematics, H.N.B. Garhwal University, India.
  • Hassen Aydi Universit´e de Sousse, Institut Sup´erieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
Keywords: Metric space, S -metric space, perturbed mapping, perturbed S -metric space.

Abstract

Distance error between two points, which arises from various causes directly impactmeasurement accuracy. Although these errors may seem small individually, their cumulativeeffect can lead to significant discrepancies. Considering this, we introduce the conceptof perturbed S-metric spaces and present a noteworthy generalization of fixed pointstheorems in this context. Also, we prove the existence and uniqueness of a solution for adeformable fractional order implicit dierential equation
Published
2026-04-07
How to Cite
Qawaqneh, H., Gangwara, A., Dimri, R., & Aydi, H. (2026). Solution of Implicit Fractional Differential Equation in the setting of New Perturbed Spaces. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3164
Section
Research Articles