Inverse fractional Sturm‐Liouville problem with eigenparameter in the boundary conditions

A Sa'idu, H Koyunbakan - Mathematical Methods in the …, 2022 - Wiley Online Library
Ambarzumyan theorem is one of the first results of the inverse spectral theory. In this work,
Ambarzumyan's theorem is proved for a fractional derivative Sturm‐Liouville problem. In …

[PDF][PDF] Transmutation of conformable sturm-liouville operator with exactly solvable potential

A Sa'idu, H Koyunbakan - Filomat, 2023 - doiserbia.nb.rs
In this paper, we proved transformation operator for fractional Sturm-Liouville operator, using
conformable derivative approach, which is different from classical Sturm-Liouville operator …

Parameter identification in multidimensional hyperbolic partial differential equations using wavelet collocation method

G Priyadarshi, BV Rathish Kumar - Mathematical Methods in …, 2021 - Wiley Online Library
In this article, we have proposed a highly efficient and accurate collocation method based on
Haar wavelet for the parameter identification in multidimensional hyperbolic partial …

Convergence analysis of implicit Euler method for a class of nonlinear impulsive fractional differential equations

Y Yu, S Zhen - Mathematical Problems in Engineering, 2020 - Wiley Online Library
For a class of nonlinear impulsive fractional differential equations, we first transform them
into equivalent integral equations, and then the implicit Euler method is adapted for solving …

Spectral Problem and Initial Value Problem of a Nonlocal Sturm-Liouville Equation

J Li, M Wang - Qualitative Theory of Dynamical Systems, 2021 - Springer
In this paper, we considered the spectral problem and initial value problem of a nonlocal
Sturm-Liouville equation with fractional integrals and fractional derivatives. We proved that …