2023
DOI: 10.1016/j.chaos.2022.113078
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A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach

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Cited by 77 publications
(20 citation statements)
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“…The integer order differential equation is a local operator in nature and is not capable of characterizing the problems related to biomedicine and biology. [62][63][64][65][66][67][68] The fractional order differential equation is a nonlocal operator and hence well describes the calcium oscillation and bursting in a cellular process. Thus, by considering this fact the present hepatocytes model can be recast in the form of fractional order as…”
Section: And [Ca 2+mentioning
confidence: 99%
See 1 more Smart Citation
“…The integer order differential equation is a local operator in nature and is not capable of characterizing the problems related to biomedicine and biology. [62][63][64][65][66][67][68] The fractional order differential equation is a nonlocal operator and hence well describes the calcium oscillation and bursting in a cellular process. Thus, by considering this fact the present hepatocytes model can be recast in the form of fractional order as…”
Section: And [Ca 2+mentioning
confidence: 99%
“…The integer order differential equation is a local operator in nature and is not capable of characterizing the problems related to biomedicine and biology. [ 62–68 ] The fractional order differential equation is a non‐local operator and hence well describes the calcium oscillation and bursting in a cellular process. Thus, by considering this fact the present hepatocytes model can be recast in the form of fractional order as trueright0CDtϑ[Gα]leftbadbreak=k1goodbreak+k2·Gαgoodbreak−k3()Gα·PLCGα+k4goodbreak−k5()Gα·Ca2+Gα+k6right0CDtϑ[PLC]leftbadbreak=k7·Gαgoodbreak−k8()PLCPLC+k9right0CDtϑ[Ca2+]leftbadbreak=k10()PLC·Ca2+·CaER2+CaER2++k11goodbreak+k12·PLCgoodbreak+k13·Gαleft1embadbreak−k14()Ca2+Ca2++k15goodbreak−k16()Ca2+Ca2++k17right0C...…”
Section: Mathematical Model For Hepatocytesmentioning
confidence: 99%
“…In the paper, [6] Baleanu et al analyze an entirely new fractional punch system with cubic and quadratic nonlinearities. The authors discussed the new intervention strategy for HIV/AIDS with fractional modeling, [50] studied about fractional calculus for spring mass system [51] and dynamical behavior of fractional model. [52] The modern coronavirus spread model, proposed by ref.…”
Section: Introductionmentioning
confidence: 99%
“…Eshaghi et al [29] discussed the bifurcation, synchronization, and chaos control of a fractional-order chaotic system. For more details, one can see [29,[34][35][36][37][38][39][40][41][42].…”
Section: Introductionmentioning
confidence: 99%