The objective of this paper is to investigate, by applying the standard Caputo fractional q-
derivative of order α, the existence of solutions for the singular fractional q-integro …

In this paper we initiate the study of quantum calculus on finite intervals. We define the qk-
derivative and qk-integral of a function and prove their basic properties. As an application …

The present paper deals with a new fractional SIRS-SI model describing the transmission of
malaria disease. The SIRS-SI malaria model is modified by using the Caputo–Fabrizio …

This paper deals with some existence and Ulam stability results for some classes of implicit
fractional qq‐difference equations with and without random effects in Banach spaces and …

In this paper we define new concepts of fractional quantum calculus by defining a new q-
shifting operator. After giving the basic properties we define the q-derivative and q-integral …

By using the Caputo type and the Riemann–Liouville type fractional q-derivative, we
investigate the existence of solutions for a multi-term pointwise defined fractional q-integro …

In this paper we present some existence results and topological structure of the solution set
for a class of Caputo implicit fractional q-difference inclusions in Banach spaces. Firstly …

In this paper, we study the existence of solutions for a new class of fractional q-integro-
difference equations involving Riemann-Liouville q-derivatives and aq-integral of different …

Let (X,d) be a quasi-metric space. A Rus-Hicks-Rhoades (RHR) map f:X→X is the one
satisfying d(fx,f^2x)≤αd(x,fx) for every x∈X, where α∈0,1). In our previous work 37, we …

We investigate the existence of solutions for a nonlinear fractional q-difference integral
equation (q-variant of the Langevin equation) with two different fractional orders and …