Existence and uniqueness results for double jump fractional uncertain differential equations

Authors

  • Philip Ajibola Bankole
    Department of Mathematics Education, Lagos State University of Education, Oto/Ijanikin, Lagos State, Nigeria
  • Mabel Eruore Adeosun
    Department of Mathematics and Statistics, Osun State College of Technology, Esa-Oke, Osun State, Nigeria
  • Sunday Emmanuel Fadugba
    Department of Mathematics, Ekiti State University, Ado-Ekiti, 360001, Ekiti State, Nigeria
  • Tolulope Fadina
    Department of Mathematics, University of Illinois Urbana - Champaign, Urbana Illnois 61801, USA
  • Christopher Thron
    Department of Science and Mathematics, Texas A&M University - Central Texas, Killeen, USA

Keywords:

Double V-jump, Banach fixed point, Existence, Uniqueness, Fractional uncertain differential equation

Abstract

Fractional uncertain differential equations have been used to model random processes in economics and other fields that exhibit jumps, dependency, and nonlinearities, and which possess uncertainties due to limited data and inadequate models. In this paper, a double V-jump fractional uncertain differential equation (DV-FUDE) is presented as a $\theta^{th}$-order Riemann-Liouville or Caputo fractional uncertain differential equation with the addition of two V-jump independent processes on different filtrations. The equation models systems possessing two sources of uncertain shocks attributed to internal and external factors, respectively. Exact solutions in the case of time-dependent coefficients are given in terms of the Mittag-Leffler function. Sample continuity, existence, and uniqueness for the general Riemann-Liouville and Caputo DV-FUDE are established using the Banach Fixed Point Theorem, under  global Lipschitz and linear growth conditions on the coefficients. Some extensions and possible areas of application are highlighted for future research.    

Dimensions

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Published

2026-05-04

How to Cite

Existence and uniqueness results for double jump fractional uncertain differential equations. (2026). Journal of the Nigerian Society of Physical Sciences, 8(2), 3153. https://doi.org/10.46481/jnsps.2026.3153

Issue

Volume 8, Issue 2, May 2026 (In Progress)

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2026 Philip Ajibola Bankole, Mabel Eruore Adeosun, Sunday Emmanuel Fadugba, Tolulope Fadina, Christopher Thron (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Existence and uniqueness results for double jump fractional uncertain differential equations. (2026). Journal of the Nigerian Society of Physical Sciences, 8(2), 3153. https://doi.org/10.46481/jnsps.2026.3153

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