In this article, we propose a generalization of both b-metric and dislocated metric, namely,
dislocated extended b-metric space. After getting some fixed point results, we suggest a …

In the present research manuscript, we formulate a new generalized structure of the
nonlinear Caputo fractional quantum multi-integro-differential equation in which such a multi …

The primary objective of this research is to investigate the controllability and Hyers–Ulam
stability of fractional dynamical systems represented by ψ-Caputo fractional derivative with …

In this paper, we consider a nonlinear sequential q-difference equation based on the Caputo
fractional quantum derivatives with nonlocal boundary value conditions containing Riemann …

In this research, we first investigate the existence of solutions for a new fractional boundary
value problem in the Liouville–Caputo setting with mixed integro-derivative boundary …

This manuscript studies the existence and Ulam–Hyers stability results of solutions of q−
fractional jerk type problem. The uniqueness of solutions is established by means of …

In this article, the three-dimensional conformal time derivative generalized q-deformed Sinh–
Gordon equation is discussed analytically and numerically using the (G′/G)-expansion …

In this paper, the q-deformed Sinh-Gordon equation is solved analytically using a new
general form based on the extended tanh approach. The numerical solutions of the equation …

In this paper, we first establish two quantum integral (q-integral) identities with the help of
derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q …

In this article, we study the generalized q-deformed sinh-Gordon equation analytically using
the new general form of Kudryashov's approach and numerically using the finite difference …