In this paper, we study the nonexistence of global solutions for certain classes of nonlinear fractional differential inequalities involving weighted fractional derivatives and a singular potential function. Namely, using the test function method with a judicious choice of the test function, we obtain sufficient criteria depending on the parameters of the considered problems, under which we have absence of global solutions. Next, some special cases of the potential function are discussed.
NONEXISTENCE RESULTS FOR NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING WEIGHTED FRACTIONAL DERIVATIVES
Andrea De Gaetano;
2022
Abstract
In this paper, we study the nonexistence of global solutions for certain classes of nonlinear fractional differential inequalities involving weighted fractional derivatives and a singular potential function. Namely, using the test function method with a judicious choice of the test function, we obtain sufficient criteria depending on the parameters of the considered problems, under which we have absence of global solutions. Next, some special cases of the potential function are discussed.File in questo prodotto:
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Descrizione: Nonexistence results for nonlinear fractional differential inequalities involving weighted fractional derivatives
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