MMN-5011
Vallée-Poussin theorem for Katugampola fractional functional differential equations
Alexander Domoshnitsky; Oleg Kupervasser; Seshadev Padhi; Satyam Narayan Srivastava;Abstract
We propose Vallee-Poussin theorem in form of three assertions for Katugampola frac- ´
tional functional differential equation. On the basis of corresponding function v(t), we obtain
explicit test of negativity of Green’s function in form of algebraic inequality. We discuss particular cases of functional equation such as equations with deviation to illustrate application of
our technique. Further, we demonstrate applications of Katugampola derivatives as it generalizes previous inequalities available in literature for Riemann-Liouville fractional boundary value
problem and Hadamard fractional boundary value problem.
Vol. 27 (2026), No. 1, pp. 167-180