Discrete fractional calculus with the nabla operator

JOURNAL ARTICLE published 2009 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Ferhan M. Atici | Paul Eloe

Preface

JOURNAL ARTICLE published 2009 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Paul Eloe | Johnny Henderson

A new transform method in nabla discrete fractional calculus

JOURNAL ARTICLE published December 2012 in Advances in Difference Equations

Authors: Fahd Jarad | Billur Kaymakçalan | Kenan Taş

Existence and rapid convergence results for nonlinear Caputo nabla fractional difference equations

JOURNAL ARTICLE published 2017 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Xiang Liu | Baoguo Jia | Lynn Erbe | Allan Peterson

Fully nonlinear boundary value problems with impulse

JOURNAL ARTICLE published 2011 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Paul Eloe | M. Usman

Nonlinear eigenvalue problems for higher order Lidstone boundary value problems

JOURNAL ARTICLE published 2000 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Paul Eloe

Stability in discrete equations with variable delays

JOURNAL ARTICLE published 2009 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Ernest Yankson

A class of BVPs for nonlinear fractional differential equations with p-Laplacian operator

JOURNAL ARTICLE published 2012 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Zhenhai Liu | Liang Lu

Generalized reciprocity principle for discrete symplectic systems

JOURNAL ARTICLE published 2015 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Julia Elyseeva

Filippov's theorem for impulsive differential inclusions with fractional order

JOURNAL ARTICLE published 2009 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Abdelghani Ouahab

Impulsive fractional differential equations in Banach spaces

JOURNAL ARTICLE published 2009 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Mouffak Benchohra | Djamila Seba

A Problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator

JOURNAL ARTICLE published 2009 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Temirkhan Sultanovich Aleroev | H. T. Aleroeva

Existence of solution for a Kirchhoff type problem involving the fractional p-Laplace operator

JOURNAL ARTICLE published 2015 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Wenjing Chen | Shengbing Deng

Particular solutions of the radial Schrödinger equation via Nabla discrete fractional calculus operator

PROCEEDINGS ARTICLE published 2017 in AIP Conference Proceedings

Authors: Okkes Ozturk | Resat Yilmazer

Attractivity of solutions of Riemann–Liouville fractional differential equations

JOURNAL ARTICLE published 2022 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Tao Zhu

Nabla Fractional Calculus

BOOK CHAPTER published 2015 in Discrete Fractional Calculus

Authors: Christopher Goodrich | Allan C. Peterson

Comparison theorems and asymptotic behavior of solutions of discrete fractional equations

JOURNAL ARTICLE published 2015 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Baoguo Jia | Lynn Erbe | Allan Peterson

Existence of solutions of nonlinear fractional differential equations at resonance

JOURNAL ARTICLE published 2011 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Wenjuan Rui

On fractional Cauchy-type problems containing Hilfer's derivative

JOURNAL ARTICLE published 2016 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Rafał Kamocki | Cezary Obczyński

A saddle point type solution for a system of operator equations

JOURNAL ARTICLE published 2021 in Electronic Journal of Qualitative Theory of Differential Equations

Authors: Piotr Kowalski