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Spectrum of Fractional and Fractional Prabhakar Sturm-Liouville Problems with Homogeneous Dirichlet Boundary Conditions

Symmetry, 2021
In this study, we consider regular eigenvalue problems formulated by using the left and right standard fractional derivatives and extend the notion of a fractional Sturm–Liouville problem to the regular Prabhakar eigenvalue problem, which includes the ...
M. Klimek
semanticscholar   +1 more source

A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory

Fractal and Fractional
The Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and Sturm–Liouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
semanticscholar   +1 more source

Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative

Boundary Value Problems
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ -Caputo fractional derivative with a modified argument.
Hacen Serrai, B. Tellab, S. Etemad, İbrahim Avcı, S. Rezapour   +4 more
semanticscholar   +1 more source

On the Stability of Rotating Drops. [PDF]

J Res Natl Inst Stand Technol, 2015
Nurse AK, Coriell SR, McFadden GB.
europepmc   +1 more source

Characterization of columnar inertial modes in rapidly rotating spheres and spheroids. [PDF]

Proc Math Phys Eng Sci, 2017
Maffei S, Jackson A, Livermore PW.
europepmc   +1 more source

Adaptive finite element method for eigensolutions of regular second and fourth order Sturm-Liouville problems via the element energy projection technique

, 2017
S. Yuan, K. Ye, Yongliang Wang, D. Kennedy, F. Williams   +4 more
semanticscholar   +1 more source

Derivation of eigenrelations for the Sturm-Liouville boundary value problems with interior singularities

, 2007
T. M. Acho
semanticscholar   +1 more source

Acoustic scattering in waveguides that are discontinuous in geometry and material property

, 2002
D. Warren, J. B. Lawrie, I. Mohamed
semanticscholar   +1 more source

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Sturm-Liouville eigenproblems with an interior double pole

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1995
The paper concerns the selfadjoint Sturm-Liouville eigenproblem \(w''(x)+ p(x) w(x)= 0\), on \([a, b]\), \(w(a)= w(b)= 0\), where the function \(p\) has a double pole and two simple turning points. By using the asymptotic behaviour of Whittaker functions the asymptotic approximation for high order modes is obtained.
Acho, Thomas M., Clemence, Dominic P.
openaire   +2 more sources

Tempered Fractional Sturm--Liouville EigenProblems

SIAM Journal on Scientific Computing, 2015
Summary: Continuum-time random walk is a general model for particle kinetics, which allows for incorporating waiting times and/or non-Gaussian jump distributions with divergent second moments to account for Lévy flights. Exponentially tempering the probability distribution of the waiting times and the anomalously large displacements results in tempered-
Zayernouri, Mohsen, Ainsworth, Mark, Karniadakis, George Em   +2 more
openaire   +1 more source