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 کاملq-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 کاملCertain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators
The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...
متن کاملSOME 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 کاملA conformable fractional calculus on arbitrary time scales
Fractional calculus; Conformable operators; Calculus on time scales Abstract A conformable time-scale fractional calculus of order a 2 0; 1 is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger timescale calculus is obtained as a particular case, by choosing a 1⁄4 1. a 2015 The Authors. Production and hosting by Elsevier B.V. on ...
متن کاملذخیره 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: Journal of Nonlinear Mathematical Physics
سال: 2007
ISSN: 1776-0852
DOI: 10.2991/jnmp.2007.14.3.4