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

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

Variational iteration method for fractional calculus - a universal approach by Laplace transform

JOURNAL ARTICLE published December 2013 in Advances in Difference Equations

Authors: Guo-Cheng Wu | Dumitru Baleanu

Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications

JOURNAL ARTICLE published December 2021 in Advances in Difference Equations

Authors: Zareen A. Khan | Fahd Jarad | Aziz Khan | Hasib Khan

On fractional Hahn calculus

JOURNAL ARTICLE published December 2017 in Advances in Difference Equations

Authors: Tanapat Brikshavana | Thanin Sitthiwirattham

Theories and applications of the inverse fractional natural transform method

JOURNAL ARTICLE published December 2018 in Advances in Difference Equations

Authors: Mahmoud S. Rawashdeh | Hadeel Al-Jammal

On fractional $(p,q)$-calculus

JOURNAL ARTICLE published December 2020 in Advances in Difference Equations

Research funded by King Mongkut's University of Technology North Bangkok (KMUTNB-61-KNOW-026)

Authors: Jarunee Soontharanon | Thanin Sitthiwirattham

Fractional calculus in the sky

JOURNAL ARTICLE published December 2021 in Advances in Difference Equations

Authors: Dumitru Baleanu | Ravi P. Agarwal

The Nehari manifold method for discrete fractional p-Laplacian equations

JOURNAL ARTICLE published December 2020 in Advances in Difference Equations

Authors: Xuewei Ju | Hu Die | Mingqi Xiang

Dual identities in fractional difference calculus within Riemann

JOURNAL ARTICLE published December 2013 in Advances in Difference Equations

Authors: Thabet Abdeljawad

Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator

JOURNAL ARTICLE published December 2013 in Advances in Difference Equations

Authors: Wei-Hua Su | Xiao-Jun Yang | H Jafari | Dumitru Baleanu

q-Fractional calculus for Rubin’s q-difference operator

JOURNAL ARTICLE published December 2013 in Advances in Difference Equations

Authors: Zeinab SI Mansour

Efficient solutions of systems of fractional PDEs by the differential transform method

JOURNAL ARTICLE published December 2012 in Advances in Difference Equations

Authors: Aydin Secer | Mehmet Ali Akinlar | Adem Cevikel

Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels

JOURNAL ARTICLE published December 2016 in Advances in Difference Equations

Authors: Thabet Abdeljawad | Dumitru Baleanu

Fractional q-symmetric calculus on a time scale

JOURNAL ARTICLE published December 2017 in Advances in Difference Equations

Research funded by Natural Science Foundation of China (11161049)

Authors: Mingzhe Sun | Chengmin Hou

Fractional-order backward differ-sum

BOOK CHAPTER published January 2016 in Discrete Fractional Calculus

Discrete monotone method for space-fractional nonlinear reaction–diffusion equations

JOURNAL ARTICLE published December 2019 in Advances in Difference Equations

Research funded by Consejo Nacional de Ciencia y Tecnología, México (A1-S-45928) | RFBR (19-01-00019)

Authors: Salvador Flores | Jorge E. Macías-Díaz | Ahmed S. Hendy

A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method

JOURNAL ARTICLE published December 2020 in Advances in Difference Equations

Research funded by Deanship of Scientific Research, King Saud University (RG-1440-030.)

Authors: Hassan Eltayeb | Imed Bachar | Yahya T. Abdalla

Power functions and essentials of fractional calculus on isolated time scales

JOURNAL ARTICLE published December 2013 in Advances in Difference Equations

Authors: Tomáš Kisela

Gronwall’s inequality on discrete fractional calculus

JOURNAL ARTICLE published November 2012 in Computers & Mathematics with Applications

Authors: Ferhan M. Atıcı | Paul W. Eloe