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- Title
Existence of solution for some nonlinear g-Caputo fractional-order differential equations based on Wardowski–Mizoguchi–Takahashi contractions.
- Authors
Mohammadi, Babak; Parvaneh, Vahid; Mursaleen, Mohammad
- Abstract
In this study, we prove the existence and uniqueness of a solution to a g-Caputo fractional differential equation with new boundary value conditions utilizing the combined Wardowski–Mizoguchi–Takahashi contractions via reduction of this equation to a fractional integral equation. We provide an example to demonstrate our findings.
- Subjects
BOUNDARY value problems; DIFFERENTIAL equations; FRACTIONAL integrals; INTEGRAL equations
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-024-03190-6