Document Type : Original Article


1 Department of Mathematics, Jamal Mohamed College (Autonomous)(Affiliated to Bharathidasan University), Tiruchirapplli-620020, India

2 Department of Mathematics, Serfoji Govt. College (Autonomous) (Affiliated to Bharathidasan University), Tanjavour, Tamilnadu, India

3 Department of Mathematics Education, Akenten Appiah Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana, South Africa


The Jumarie fractional-order transmitter receptors model is discussed in this paper. Transmitter receptors can be found in a variety of states, including accumulated, freed, combined with receptors, and recycled for storage. For such a system, a collection of equations is proposed and analyzed. We considered the solution's asymptotically stability and discussed the physiological effect of transmitter receptor transport in a synaptic chasm in the presence of receptors and transporters with different kinetic properties under these limited conditions.