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

Authors

  • 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

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 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

Downloads

Published

2026-04-07

Issue

Online First

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
    2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
    3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).

How to Cite

Solution of Implicit Fractional Differential Equation in the setting of New Perturbed Spaces. (2026). Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3164