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

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

q-deformed Lie algebras and fractional calculus

Fractional calculus and q-deformed Lie algebras are closely related. Both concepts expand the scope of standard Lie algebras to describe generalized symmetries. For the fractional harmonic oscillator, the corresponding q-number is derived. It is shown, that the resulting energy spectrum is an appropriate tool e.g. to describe the ground state spectra of even-even nuclei. In addition, the equiva...

متن کامل

q-ANALOGUES OF SAIGO’S FRACTIONAL CALCULUS OPERATORS

M. Saigo [Math. Rep. Coll. Gen. Educ., Kyushu Univ., 11 (1978) 135-143] has defined a pair of fractional integral operators and fractional derivatives involving generalizd hypergeometric function. The aim of present paper is to define their q-analogues. First, we define a pair of q-analogues of Saigo’s fractional integral operators and establish some results for it. Next, we define a pair of q-...

متن کامل

Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations

It is shown that, if f is a meromorphic function of order zero and q ∈ C, then m „ r, f(qz) f(z) « = o(T (r, f)) (‡) for all r on a set of logarithmic density 1. The remainder of the paper consist of applications of identity (‡) to the study of value distribution of zero-order meromorphic functions, and, in particular, zero-order meromorphic solutions of q-difference equations. The results obta...

متن کامل

SOME APPLICATIONS OF FRACTIONAL q-CALCULUS AND FRACTIONAL q-LEIBNIZ RULE

In this article, the fractional q-calculus and fractional q-Leibniz rule are used to generate certain infinite series expansions and transformations relating some of q-special functions of mathematical physics. Some of these expansions and transformations thus generated are known, while others appear to be new.

متن کامل

Positive Solution for Fractional q-Difference Boundary Value Problems with φ -Laplacian Operator

In this paper, we investigate the existence of at least one positive solution for a class of fractional q-difference boundary value problems with φ -Laplacian operator. The arguments mainly rely on the upper and lower solutions method as well as the Schauder’s fixed point theorem. Nonlinear term may be singular at t = 0,1 or u = 0. Furthermore, two examples are presented to illustrate the main ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Advances in Difference Equations

سال: 2013

ISSN: 1687-1847

DOI: 10.1186/1687-1847-2013-276