Titlebook: q-Fractional Calculus and Equations; Mahmoud H. Annaby,Zeinab S. Mansour Book 2012 Springer-Verlag Berlin Heidelberg 2012 33D15, 26A33, 30

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airborne

Other ,-Fractional Calculi,y–Wilson operator introduced in (Ismail and Rahman, J. Approx. Theor. 114(2), 269–307, 2002). At the end of this chapter we introduce a fractional generalization of the .-difference operator introduced in (Rubin, J. Math. Anal. Appl. 212(2), 571–582, 1997).

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Curmudgeon

,,-Mittag–Leffler Functions,s of the Mittag–Leffler functions defined by mathematicians. We pay attention to a pair of .-analogues of the Mittag–Leffler function that may be considered as a generalization of the .-exponential functions ..(.) and ..(.). We study their main properties and give a Mellin–Barnes integral representa

Malaise

Fractional ,-Difference Equations,r, homogeneous, and inhomogeneous equations with constant and variable coefficients. This chapter is devoted to certain problems of fractional .-difference equations based on the basic Riemann–Liouville fractional derivative and the basic Caputo fractional derivative. In this chapter, we investigate

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阻礙

Book 2012ntary calculus of .q-.differences and integration of Jackson’s type before turning to .q-.difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular? .q-.Sturm–Liouville theory is also intr

GLUE

,-Difference Equations,y based on (Mansour, .-Difference Equations, Master’s thesis, Faculty of Science, Cairo University, Giza, Egypt, 2001). This chapter also includes a section on the asymptotics of zeros of some .-functions.

MEEK

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