On Periodic Solutions for Implicit Nonlinear Caputo Tempered Fractional Differential Problems
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Date
2024
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de Gruyter Poland Sp Z O O
Open Access Color
GOLD
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Abstract
The main goal of this article is to study the existence and uniqueness of periodic solutions for the implicit problem with nonlinear fractional differential equation involving the Caputo tempered fractional derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the efficiency of the stated result, two illustrative examples will be demonstrated.
Description
Keywords
Coincidence Degree Theory, Existence, Uniqueness, Tempered Fractional Operators, Implicit Problems, Alternative medicine, 34b10, 330, implicit problems, Fractional Differential Equations, Mathematical proof, Geometry, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, 510, Differential equation, Numerical Methods for Singularly Perturbed Problems, QA1-939, FOS: Mathematics, Pathology, Degree (music), Anomalous Diffusion Modeling and Analysis, 34b40, Numerical Analysis, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, FOS: Clinical medicine, existence, Fractional calculus, uniqueness, 34a08, Acoustics, Applied mathematics, Coincidence, Fractional Derivatives, Sonstiges, Modeling and Simulation, Dentistry, Mathematik, Physical Sciences, Nonlinear system, Medicine, tempered fractional operators, Uniqueness, Calculus (dental), coincidence degree theory, Mathematics, Fractional ordinary differential equations, Implicit ordinary differential equations, differential-algebraic equations, Degree theory for nonlinear operators, Nonautonomous smooth dynamical systems, Periodic solutions to ordinary differential equations
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Fields of Science
01 natural sciences, 0101 mathematics
Citation
WoS Q
Q1
Scopus Q
Q1
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N/A
Source
Demonstratio Mathematica
Volume
57
Issue
1
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Scopus : 2
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2
checked on Feb 03, 2026
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2
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