New concepts of fractional quantum calculus and applications to impulsive fractional q-difference equations

[1]  Jessada Tariboon,et al.  Quantum integral inequalities on finite intervals , 2014 .

[2]  Jessada Tariboon,et al.  Quantum calculus on finite intervals and applications to impulsive difference equations , 2013 .

[3]  Existence of solutions for nonlinear second-order q-difference equations with first-order q-derivatives , 2013 .

[4]  Wen-Xue Zhou,et al.  Existence solutions for boundary value problem of nonlinear fractional q-difference equations , 2013 .

[5]  Mahmoud H. Annaby,et al.  q-Fractional Calculus and Equations , 2012 .

[6]  Bashir Ahmad,et al.  Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations , 2012 .

[7]  On nonlocal boundary value problems of nonlinear q-difference equations , 2012 .

[8]  Ahmed Alsaedi,et al.  A study of second-order q-difference equations with boundary conditions , 2012, Advances in Difference Equations.

[9]  Bashir Ahmad,et al.  Boundary Value Problems for -Difference Inclusions , 2011 .

[10]  B. Ahmad,et al.  BOUNDARY-VALUE PROBLEMS FOR NONLINEAR THIRD-ORDER q-DIFFERENCE EQUATIONS , 2011 .

[11]  Ahmed Alsaedi,et al.  New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions , 2011 .

[12]  Martin Bohner,et al.  The H-Laplace and Q-Laplace Transforms , 2010 .

[13]  Rui A. C. Ferreira,et al.  Nontrivial solutions for fractional q-difference boundary value problems , 2010 .

[14]  Moustafa El-Shahed,et al.  Positive solutions of q-difference equation , 2009 .

[15]  Plamen Simeonov,et al.  Q-difference Operators for Orthogonal Polynomials , 2009, J. Comput. Appl. Math..

[16]  M Rajkovic Predrag,et al.  Fractional integrals and derivatives in q-calculus , 2007 .

[17]  Miomir S. Stanković,et al.  On q–Analogues of Caputo Derivative and Mittag–Leffler Function , 2007 .

[18]  Zhanbing Bai,et al.  Positive solutions for boundary value problem of nonlinear fractional differential equation , 2005 .

[19]  Mizan Rahman,et al.  Some systems of multivariable orthogonal q-Racah polynomials , 2004, math/0410250.

[20]  Gaspard Bangerezako,et al.  Variational q-calculus , 2004 .

[21]  Mizan Rahman,et al.  Basic Hypergeometric Series: Elliptic, modular, and theta hypergeometric series , 2004 .

[22]  A. Odzijewicz,et al.  Second order q -difference equations solvable by factorization method , 2003, math-ph/0312057.

[23]  V. Kac,et al.  Symmetric Quantum Calculus , 2002 .

[24]  Thomas Ernst,et al.  The history of q-calculus and a new method , 2000 .

[25]  Mizan Rahman,et al.  Basic Hypergeometric Series , 1990 .

[26]  Ravi P. Agarwal,et al.  Certain fractional q-integrals and q-derivatives , 1969, Mathematical Proceedings of the Cambridge Philosophical Society.

[27]  Waleed A. Al-Salam.  Some Fractional q -Integrals and q -Derivatives , 1966 .

[28]  F. H. Jackson.  q-Difference Equations , 1910 .