Browsing Matematik Bölümü Yayın Koleksiyonu by Subject "Uniqueness Of Solution"

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A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems

Abdeljawad, Thabet; Alzabut, Jehad; Baleanu, Dumitru (Springer International Publishing, 2016-09-29)

In this paper, we state and prove a new discrete q-fractional version of the Gronwall inequality. Based on this result, a particular version expressed by means of the q-Mittag-Leffler function is provided. To apply the ...
A uniqueness criterion for fractional differential equations with Caputo derivative

Baleanu, Dumitru; Mustafa, Octavian G.; O'Regan, Donal (Springer, 2013-03)

We investigate the uniqueness of solutions to an initial value problem associated with a nonlinear fractional differential equation of order alpha a(0,1). The differential operator is of Caputo type whereas the nonlinearity ...

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