Purpose This paper aims to study qualitative properties and approximate solutions of a
thermostat dynamics system with three-point boundary value conditions involving a …

In this work, we reformulate and investigate the well-known pantograph differential equation
by applying newly-defined conformable operators in both Caputo and Riemann–Liouville …

In this paper, we consider a coupled snap system in a fractional G-Caputo derivative sense
with integral boundary conditions. Hyers-Ulam stability criterion is investigated, and 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 …

This manuscript aims to study the effectiveness of two different levels of fractional orders in
the frame of Caputo-Hadamard (CH)-derivatives on a special type class of delay problem …

In this paper, we study a Cauchy-type problem for Hilfer fractional integrodifferential
equations with boundary conditions. The existence of solutions for the given problem is …

In this paper, we investigate a multi-order $\varrho $-Hilfer fractional pantograph implicit
differential equation on unbounded domains $(a,\infty), a\geq 0$. The existence and …

The present paper addresses, generalized fractional Sturm-Liouville and Langevin
equations with nonlocal conditions. Sufficient conditions of the existence and uniqueness for …

On Fractional Kinetic Equation Relating to the Generalized k-Bessel Function by the Mellin
Transform Page 1 Journal of Fractional Calculus and Nonlinear Systems J Frac Calc & …

In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities
(LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola …