arXiv subjects

Uğur Sert

Publications and source records attributed to Uğur Sert.

2 recordsLinked to original sources

arXiv2018

Some analysis on a fractional differential equation involving a noncontinuous right-hand side

By developing new techniques we establish local existence and uniqueness theorems for an initial value problem involving a nonlinear equation in the sense of Riemann-Liouville fractional derivative in the case that the nonlinear function on the right hand side of the equation is not continuous on $[0,T]\times\mathbb{R}.$

math.AP↗

arXiv2018

Solvability of Nonlinear Elliptic Type Equation With Two Unrelated Non standard Growths

In this paper, we study the solvability of the nonlinear Dirichlet problem with sum of the operators of independent non standard growths in a bounded domain $Ω\subset \mathbb{R}^{n}$. We obtain sufficient conditions and show the existence of weak solutions of the considered problem by using monotonicity and compactness methods together.

math.AP↗