In this paper, a new theory of generalized micropolar thermoelasticity is derived by using fractional calculus. The generalized heat conduction equation in micropolar thermoelasticity has been modified with two distinct temperatures, conductive temperature and thermodynamic temperature by fractional calculus which depends upon the idea of the RiemannLiouville fractional integral operators. A un...

Many results which are obtained or unable to by classical calculus have also been studied q-calculus. It is effective use q-calculus since it acts as a bridge between mathematics and physics. The q-analog of Chlodowsky operators has introduced the approximation properties these in [12]. Then [23], Stancu-Chlodowsky some via A-statistical convergence more general setting.In this paper, we presen...

The prime aim of the present paper is to continue developing theory tempered fractional integrals and derivatives a function with respect another function. This combines calculus $\Psi$-fractional calculus, both which have found applications in topics including continuous time random walks. After studying basic $\Psi$-tempered operators, we prove mean value theorems Taylor's for Riemann--Liouvi...

This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences similarities. The derivative is closely connected to Haussdorff's concepts dimension geometry. paper distinguishes between the a function on domain function, where image space. Different continuous approximations for are discussed, it shown that $q$-calculus approximation function. A s...

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.

This Special Issue of the MDPI journal, Fractal and Fractional, on subject area “Operators Fractional Calculus Their Multidisciplinary Applications” consists 19 peer-reviewed papers, including some invited feature articles, originating from all over world [...]