Nonexistence results for higher order fractional differential inequalities with nonlinearities involving Caputo fractional derivative

Calogero Vetro, Mohamed Jleli, Bessem Samet

Risultato della ricerca: Articlepeer review

Abstract

Higher order fractional differential equations are important tools to deal with precise models of materials with hereditary and memory effects. Moreover, fractional differential inequalities are useful to establish the properties of solutions of different problems in biomathematics and flow phenomena. In the present work, we are concerned with the nonexistence of global solutions to a higher order fractional differential inequality with a nonlinearity involving Caputo fractional derivative. Namely, using nonlinear capacity estimates, we obtain sufficient conditions for which we have no global solutions. The a priori estimates of the structure of solutions are obtained by a precise analysis of the integral form of the inequality with appropriate choice of test function.
Lingua originaleEnglish
pagine (da-a)1-11
Numero di pagine11
RivistaMathematics
Volume9
Stato di pubblicazionePublished - 2021

All Science Journal Classification (ASJC) codes

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