Browsing by Author "Ali, Nigar"

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Citation Count: Zafar, Zain Ul Abadin; Ali, Nigar; Baleanu, Dumitru (2021). "Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats", Chaos Solitons & Fractals, Vol. 151.
Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats
(2021) Zafar, Zain Ul Abadin; Ali, Nigar; Baleanu, Dumitru; 56389
In this paper an arbitrary order model for Toxoplasmosis ailment in the humanoid and feline is verbalized and explored. The dynamics of this ailment is discovered using an epidemiology type paradigm. We have proposed the fractional order multistage differential transform method for the Toxoplasmosis model. It is employed to analyze and find the elucidation for the model, and the numerical simulations have been conducted in order to study the effectiveness of the technique. The suggested algorithm can be considered as a fractional extension of the well know method known as Multistage Differential Transform Method. The sensitivity analysis of the strictures of the specimen is discussed. The numeric imitations of the projected non-integer specimens are conceded out to illustrate different dynamics of the model, which depend on R-0. (C) 2021 Elsevier Ltd. All rights reserved.
Citation Count: Ali, Nigar...et al. (2017) Study of a class of arbitrary order differential equations by a coincidence degree method, Boundary Value Problems
Study of a class of arbitrary order differential equations by a coincidence degree method
(Springer Open, 2017) Ali, Nigar; Shah, Kamal; Baleanu, Dumitru; Arif, Muhammad; Khan, Rahmat Ali; 56389
In this manuscript, we investigate some appropriate conditions which ensure the existence of at least one solution to a class of fractional order differential equations (FDEs) provided by {-(C)D(q)z(t) = theta(t,z(t)); t is an element of J = [0, 1], q is an element of (1, 2], z(t)vertical bar(t=theta) = phi(z), z(1) = delta(C)D(p)z(eta), p,eta is an element of(0, 1). The nonlinear function theta : J x R -> R is continuous. Further, delta is an element of(0, 1) and phi is an element of C(J, R) is a non-local function. We establish some adequate conditions for the existence of at least one solution to the considered problem by using Gronwall's inequality and a priori estimate tools called the topological degree method. We provide two examples to verify the obtained results.