Introduction Integral transforms are important to solve real problems. Appropriate choice of
integral transforms helps to convert differential equations as well as integral equations into …

This study proposes a new fractional mathematical model to study the impact of vaccination
on COVID-19 outbreaks by categorizing infected people into non-vaccinated, first dose …

Finite-time stability of stochastic fractional-order delay differential equations is researched
here. Firstly, we derive the equivalent form of the considered system by using the Laplace …

The novel coronavirus (SARS-CoV-2), or COVID-19, has emerged and spread at fast speed
globally; the disease has become an unprecedented threat to public health worldwide. It is …

There is significant literature on Schrödinger differential equation (SDE) solutions, where the
fractional derivatives are stated in terms of Caputo derivative (CD). There is hardly any work …

In this paper, systems of fuzzy fractional differential equations with a lateral type of the
Hukuhara derivative and the generalized Hukuhara derivative are numerically studied …

In this paper, we use the conformable fractional derivative to discuss some fractional linear
differential equations with constant coefficients. By applying some similar arguments to the …

This research article centers on the formulation and analysis of a novel prey–predator model
that integrates the impacts of predation fear, prey refuge, and carry-over effects. The model …

A delayed fractional-order prey–predator system with fear (felt by prey) effect of predator on
prey population incorporating prey refuge has been proposed. We consider a three species …

In this paper, we introduce a Caputo-sense fractional derivative to an existing model for the
Chikungunya transmission dynamics, replacing integer derivative. After reviewing previous …