Nonexistence of global solutions for a Hilfer–Katugampola fractional differential problem
Sandeep P. Bhairat, Mohammad Esmael Samei
Abstract
The aim of this paper is to investigate the absence of global solutions for a fractional differential problem involving a generalised Katugampola derivative. The test function approach, Yang’s inequality and the fractional integration by parts formula are all used in our analysis. In support of our findings, we offer an example.
Topics & Concepts
Applied mathematicsDifferential (mechanical device)MathematicsMathematical economicsPhysicsThermodynamicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems