AbstractThis paper presents a generalized Gronwall inequality with singularity. Using the inequality, we study the dependence of the solution on the order and the initial condition of a fractional differential equation
The theory of fractional order derivatives are almost as old as the integer-order [5]. There are man...
We deduce an inequality using elementary methods which makes it possible to prove a conjecture reg...
AbstractIn this paper, we consider a system of (continuous) fractional boundary value problems given...
AbstractWe prove a retarded nonlinear integral inequality and present some applications of it to the...
AbstractA generalization of Picone’s formula to the case of half-linear differential operators of th...
AbstractWe establish a sharp Sobolev trace inequality for the fractional-order derivatives. As a clo...
AbstractWe prove a parabolic version of the Littlewood–Paley inequality for the fractional Laplacian...
AbstractThis paper is motivated from some recent papers treating the boundary value problems for imp...
AbstractLet Γ(x) denote Euler's gamma function. The following inequality is proved: for y>0 and x>1 ...
Fractional derivative D^qf(x) (0 < q < 1, 0 <_ _ - x <_ _ - 1) of a function f(x) is defined in term...
AbstractWe consider the nth order nonlinear neutral differential equation of the form x(t)+∫abp(t,μ)...
AbstractUtilising the Beesack version of the Darst–Pollard inequality, some error bounds for approxi...
AbstractIn this paper, we give some sufficient conditions for the zero solution of an n-dimensional ...
AbstractThis note gives explicit, applicable bounds for solutions of a wide class of second-order di...
AbstractSome new generalizations of the Hilbert integral inequality by introducing real functions ϕ(...
The theory of fractional order derivatives are almost as old as the integer-order [5]. There are man...
We deduce an inequality using elementary methods which makes it possible to prove a conjecture reg...
AbstractIn this paper, we consider a system of (continuous) fractional boundary value problems given...
AbstractWe prove a retarded nonlinear integral inequality and present some applications of it to the...
AbstractA generalization of Picone’s formula to the case of half-linear differential operators of th...
AbstractWe establish a sharp Sobolev trace inequality for the fractional-order derivatives. As a clo...
AbstractWe prove a parabolic version of the Littlewood–Paley inequality for the fractional Laplacian...
AbstractThis paper is motivated from some recent papers treating the boundary value problems for imp...
AbstractLet Γ(x) denote Euler's gamma function. The following inequality is proved: for y>0 and x>1 ...
Fractional derivative D^qf(x) (0 < q < 1, 0 <_ _ - x <_ _ - 1) of a function f(x) is defined in term...
AbstractWe consider the nth order nonlinear neutral differential equation of the form x(t)+∫abp(t,μ)...
AbstractUtilising the Beesack version of the Darst–Pollard inequality, some error bounds for approxi...
AbstractIn this paper, we give some sufficient conditions for the zero solution of an n-dimensional ...
AbstractThis note gives explicit, applicable bounds for solutions of a wide class of second-order di...
AbstractSome new generalizations of the Hilbert integral inequality by introducing real functions ϕ(...
The theory of fractional order derivatives are almost as old as the integer-order [5]. There are man...
We deduce an inequality using elementary methods which makes it possible to prove a conjecture reg...
AbstractIn this paper, we consider a system of (continuous) fractional boundary value problems given...
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