Our fundamental purpose in the present manuscript is to explore existence and uniqueness
criteria for a new coupled Caputo conformable system of pantograph problems in which for …

In this paper, we consider the nonlinear space–time fractional form of Cahn–Allen equation
(FCAE) with beta and M-truncated derivatives. Cahn–Allen equation (CAE) is commonly …

In this paper, we examine the consequences of existence, uniqueness and stability of a multi-
point boundary value problem defined by a system of coupled fractional differential …

Pattern formation processes in non-integer order systems are increasingly becoming the
subject of activity considered by many scientists and engineers for scenarios associated with …

In this paper, we investigate the existence and Hyers–Ulam stability of a coupled differential
equations of fractional-order with multi-point (discrete) and integral boundary conditions that …

In this paper, we provide an extension result for the existence and uniqueness of solutions
for a coupled system of fractional Langevin differential equations with antiperiodic boundary …

In this research, we present an analytical analysis of HIV-1 infection of CD4+ T cells with a
conformable derivative model (CDM) in biology. An improved Υ′/Υ-expansion method is …

This research article is design to elaborate the rule and significance of fractional derivative
for heat transport in drilling of nanofluid. The respective nanofluid formed by the suspension …

The stochastic Newell–Whitehead–Segel in (2+ 1) dimensions is under consideration. It
represents the population density or dimensionless temperature and it discusses how …

In this paper, we present the existence criteria for the solutions of boundary value problems
involving generalized fractional integro-Langevin equation and inclusion supplemented with …