Theoretical analysis reveals unique solutions in nonlinear differential systems, highlighting rigorous existence criteria for initial value problems with tempered Caputo fractional derivatives.
The method of the equivalent system of fractional integral equations is used to prove the existence results of a unique solution for initial value problems corresponding to various classes of nonlinear fractional differential equations involving the tempered Ψ–Caputo fractional derivative. These include equations with their right side depending on ordinary as well as fractional-order derivatives, or fractional integrals of the solution.
No takes yet. Share an insight, caveat, or question.
Pospíšil et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: