Add to ORKGWe continue the study of a non self-adjoint fractional three-term Sturm-Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left-Riemann-Liouville fractional integral under {\it Dirichlet type} boundary conditions. We study the existence and asymptotic behavior of the real eigenvalues and show that for certain values of the fractional differentiation parameter $\alpha$, $0<\alpha<1$, there is a finite set of real eigenvalues and that, for $\alpha$ near $1/2$, there may be none at all. As $\alpha \to 1^-$ we show that their number becomes infinite and that the problem then approaches a standard Dirichlet Sturm-Liouville problem with the composition of the operators becoming the operator of ...
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fi...
AbstractIn this paper, we consider a system of (continuous) fractional boundary value problems given...
In this paper, Dirac operator with some integral type nonlocal boundary conditions is studied. We sh...
In this study, a dissipative conformable fractional singular Sturm–Liouville operator is studied. Fo...
In this remark we study the boundary-value problems for a fractional analogue of the Laplace equatio...
AbstractIn this paper, we present and discuss four types of Mittag-Leffler–Ulam stability: Mittag-Le...
In this short paper, we consider a ψ-fractional Sturm-Liouville eigenvalue problem by using left ψ...
The Telegraph equation $(\partial_{t}^{\rho })^{2}u(x,t)+2\alpha \partial_{t}^{\rho }u(x,t)-u_{xx}(x...
AbstractIn this paper we extend some spectral properties of regular Sturm–Liouville problems to thos...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
The spectral problem is investigated for the fourth order ordinary differential operator with spect...
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fi...
In this paper, using Riemann-Liouville integral and Caputo derivative, we study an n−dimensional cou...
AbstractWe study the existence of eigenvalue intervals for the second-order differential equation on...
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fi...
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fi...
AbstractIn this paper, we consider a system of (continuous) fractional boundary value problems given...
In this paper, Dirac operator with some integral type nonlocal boundary conditions is studied. We sh...
In this study, a dissipative conformable fractional singular Sturm–Liouville operator is studied. Fo...
In this remark we study the boundary-value problems for a fractional analogue of the Laplace equatio...
AbstractIn this paper, we present and discuss four types of Mittag-Leffler–Ulam stability: Mittag-Le...
In this short paper, we consider a ψ-fractional Sturm-Liouville eigenvalue problem by using left ψ...
The Telegraph equation $(\partial_{t}^{\rho })^{2}u(x,t)+2\alpha \partial_{t}^{\rho }u(x,t)-u_{xx}(x...
AbstractIn this paper we extend some spectral properties of regular Sturm–Liouville problems to thos...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
The spectral problem is investigated for the fourth order ordinary differential operator with spect...
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fi...
In this paper, using Riemann-Liouville integral and Caputo derivative, we study an n−dimensional cou...
AbstractWe study the existence of eigenvalue intervals for the second-order differential equation on...
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fi...
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fi...
AbstractIn this paper, we consider a system of (continuous) fractional boundary value problems given...
In this paper, Dirac operator with some integral type nonlocal boundary conditions is studied. We sh...