%0 Journal Article %T On conformable delta fractional calculus on time scales %A Zhao, Dafang %A Li, Tongxing %J Journal of Mathematics and Computer Science %D 2016 %V 16 %N 3 %@ ISSN 2008-949X %F Zhao2016 %X In this paper, we introduce and investigate the concepts of conformable delta fractional derivative and conformable delta fractional integral on time scales. Basic properties of the theory are proved. %9 journal article %R 10.22436/jmcs.016.03.03 %U http://dx.doi.org/10.22436/jmcs.016.03.03 %P 324--335 %0 Journal Article %T On conformable fractional calculus %A T. Abdeljawad %J J. Comput. Appl. Math. %D 2015 %V 279 %F Abdeljawad2015 %0 Journal Article %T Conformable fractional semigroups of operators %A T. Abdeljawad %A M. Al Horani %A R. Khalil %J J. Semigroup Theory Appl. %D 2015 %V 2015 %F Abdeljawad2015 %0 Journal Article %T Fractional Fourier series with applications %A I. Abu Hammad %A R. Khalil %J Amer. J. Comput. Appl. Math. %D 2014 %V 4 %F Hammad2014 %0 Journal Article %T Abel's formula and Wronskian for conformable fractional differential equations %A M. Abu Hammad %A R. Khalil %J Int. J. Differ. Equ. Appl. %D 2014 %V 13 %F Hammad2014 %0 Journal Article %T Conformable fractional heat differential equations %A M. Abu Hammad %A R. Khalil %J Int. J. Pure. Appl. Math. %D 2014 %V 94 %F Hammad2014 %0 Journal Article %T Legendre fractional differential equation and Legendre fractional polynomials %A M. Abu Hammad %A R. Khalil %J Int. J. Appl. Math. Res. %D 2014 %V 3 %F Hammad2014 %0 Journal Article %T Oscillatory behavior of second-order half-linear damped dynamic equations %A R. P. Agarwal %A M. Bohner %A T. Li %J Appl. Math. Comput. %D 2015 %V 254 %F Agarwal2015 %0 Journal Article %T Variation of parameters for local fractional nonhomogeneous linear-differential equations %A M. Al Horani %A M. Abu Hammad %A R. Khalil %J J. Math. Computer Sci. %D 2016 %V 16 %F Horani2016 %0 Journal Article %T Three-point boundary value problems for conformable fractional differential equations %A H. Batarfi %A J. Losada %A J. J. Nieto %A W. Shammakh %J J. Funct. Spaces %D 2015 %V 2015 %F Batarfi2015 %0 Journal Article %T Existence of solution to a local fractional nonlinear differential equation %A B. Bayour %A D. F. M. Torres %J J. Comput. Appl. Math. %D 2017 %V 312 %F Bayour2017 %0 Journal Article %T A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration %A N. Benkhettou %A A. M. C. Brito da Cruz %A D. F. M. Torres %J Signal Process. %D 2015 %V 107 %F Benkhettou2015 %0 Journal Article %T Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets %A N. Benkhettou %A A. M. C. Brito da Cruz %A D. F. M. Torres %J Math. Methods Appl. Sci. %D 2016 %V 39 %F Benkhettou2016 %0 Journal Article %T A conformable fractional calculus on arbitrary time scales %A N. Benkhettou %A S. Hassani %A D. F. M. Torres %J J. King Saud Univ. Sci. %D 2016 %V 28 %F Benkhettou2016 %0 Journal Article %T Oscillation of second-order p-Laplace dynamic equations with a nonpositive neutral coeficient %A M. Bohner %A T. Li %J Appl. Math. Lett. %D 2014 %V 37 %F Bohner2014 %0 Journal Article %T Discrete, continuous, delta, nabla, and diamond-alpha Opial inequalities %A M. J. Bohner %A R. R. Mahmoud %A S. H. Saker %J Math. Inequal. Appl. %D 2015 %V 18 %F Bohner2015 %0 Book %T Dynamic Equations on Time Scales: An Introduction with Application %A M. Bohner %A A. Peterson %D 2001 %I Birkhäuser %C Boston %F Bohner2001 %0 Book %T Advances in Dynamic Equations on Time Scales %A M. Bohner %A A. Peterson %D 2003 %I Birkhäuser %C Boston %F Bohner2003 %0 Journal Article %T Sneak-out principle on time scales %A M. Bohner %A S. H. Saker %J J. Math. Inequal. %D 2016 %V 10 %F Bohner2016 %0 Book %T Fractals and Fractional Calculus in Continuum Mechanics %A A. Carpinteri %A F. Mainardi %D 1997 %I Springer-Verlag %C Vienna %F Carpinteri1997 %0 Book %T Fractional Calculus: An Introduction for Physicists %A R. Herrmann %D 2011 %I World Scientific %C Singapore %F Herrmann 2011 %0 Book %T Ein MaBkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten %A S. Hilger %D 1988 %I Ph.D. Thesis %C Universtät Würzburg %F Hilger1988 %0 Book %T Undetermined coeficients for local fractional differential equations %A R. Khalil %A M. Al Horani %A D. Anderson %D 2016 %I J. Math. Computer Sci., 16 %C 140-146. %F Khalil2016 %0 Journal Article %T A new definition of fractional derivative %A R. Khalil %A M. Al Horani %A A. Yousef %A M. Sababheh %J J. Comput. Appl. Math. %D 2014 %V 264 %F Khalil2014 %0 Journal Article %T Qualitative analysis of differential, difference equations, and dynamic equations on time scales %A T. Li %A J. Diblk %A A. Domoshnitsky %A Yu. V. Rogovchenko %A F. Sadyrbaev %A Q.-R. Wang %J Abstr. Appl. Anal. %D 2015 %V 2015 %F Li2015 %0 Journal Article %T A note on oscillation criteria for second-order neutral dynamic equations on isolated time scales %A T. Li %A S. H. Saker %J Commun. Nonlinear Sci. Numer. Simul. %D 2014 %V 19 %F Li2014 %0 Book %T An Introduction to the Fractional Calculus and Fractional Differential Equations %A K. S. Miller %A B. Ross %D 1993 %I John Wiley & Sons, Inc. %C New York %F Miller1993 %0 Book %T The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order %A K. B. Oldham %A J. Spanier %D 2006 %I Dover Publications %C New York-London %F Oldham2006 %0 Book %T Fractional Calculus for Scientists and Engineers %A M. D. Ortigueira %D 2011 %I Springer %C Dordrecht %F Ortigueira2011 %0 Journal Article %T Henstock-Kurzweil delta and nabla integrals %A A. Peterson %A B. Thompson %J J. Math. Anal. Appl. %D 2006 %V 323 %F Peterson2006 %0 Book %T Fractional Differential Equations %A I. Podlubny %D 1999 %I Academic Press %C San Diego %F Podlubny1999 %0 Book %T Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering %A J. Sabatier %A O. P. Agrawal %A J. A. T. Machado %D 2007 %I Springer %C Dordrecht %F Sabatier2007 %0 Book %T Fractional Integrals and Derivatives: Theory and Applications %A S. G. Samko %A A. A. Kilbas %A O. I. Marichev %D 1993 %I CRC Press %C Switzerland %F Samko1993