[PDF] Top 20 Study on Approximate Solution of Fractional Order Biological Population Model
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Study on Approximate Solution of Fractional Order Biological Population Model
... Fractional calculus have gained importance and popularity due to its various applications in fluid mechanics, visco-elasticity, biology, electrical network, optics and signal processing and so on ... See full document
11
An approximate solution of fractional cable equation by homotopy analysis method
... the fractional cable equation by the Riemann-Liouville fractional partial ...series solution. In this study, approximate solutions of the fractional cable equation are obtained ... See full document
10
Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method
... the study of evolution equations because they provide physical, con- served quantities for all solutions u x t ( ) , , and they can be used to check the ac- curacy of numerical solution methods [8] [9] [10] ... See full document
8
Exact and Explicit Approximate Solutions to the Multi-Order Fractional Burgers-Poisson and Fractional Burgers-Poisson Equations
... the approximate techniques employed in this study agree excellently with the given exact result until at such time when there is need to add more terms to the approximate solution, since we ... See full document
8
Existence of Solution to Fractional Order Integral Equations.
... mathematics. Fractional differential equation plays an important role in the study of various physical chemical and biological phenomenon’s many researchers are attracted from the field of theory ... See full document
8
Fractional Difference Approximations for Time Fractional Telegraph Equation
... to study frac- tional telegraph equations, ...effective approximate analytical mathematical tool, to solve fractional telegraph ...exact solution to the time-fractional telegraph ... See full document
9
Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... contribute significantly to the total engine mechanical friction losses [3]. The formation of a hydrodynamic lubrication film at the interface between the piston rings and cylinder liner is expected while the engine is ... See full document
9
Numerical solution for boundary value problem of fractional order with approximate Integral and derivative
... in population dynamic and cellular systems [4, ...mathematical model created for a micro-electro-mechanical system (MEMS) instrument which basically has been devel- oped to measure the viscosity of fluids ... See full document
10
A New Numerical Method to Solve Non Linear Fractional Differential Equations
... studyof fractional calculus confined as a pure theoretical area of ...arbitrary order derivative and integrals are very useful for explanation of properties of various materials in mathematical modelling ... See full document
6
Generalized Differential Transformation Method for Solving Volterra’s population growth model of Fractional order
... the approximate solution of the fractional non linear Volterra integro- differential equations ....The fractional order models for many real life applications are more accurate than ... See full document
11
Numerical study for fractional model of nonlinear predator-prey biological population dynamic system
... of fractional order has been triggered due to their large number of utilities in modeling of many engineering and scientific processes [5- ...having fractional order assemble the complete ... See full document
28
Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... The study of fuzzy differential equations (FDEs) forms a suitable setting for the mathematical modeling of real world problems in which uncertainty or vagueness ...to approximate the solution ... See full document
10
On Solutions of Generalized Bacterial Chemotaxis Model in a Semi Solid Medium
... chemotaxis model of fractional order in a semi-solid me- ...generalized biological mechanisms that govern the bacterial pattern formation processes in the experiments of Budrene and Berg [1] ... See full document
7
An efficient computer application of the sinc-Galerkin approximation for nonlinear boundary value problems
... We start by casting a given linear or nonlinear BVP into a sinc-Galerkin form accurate to the order O(N / e –(πdαN ) / ) []. This discretization yields a set of linear or nonlinear algebraic equations that ... See full document
17
Hermite Solution of Bagley Torvik Equation of Fractional Order
... In this paper, a new methodology of fractional derivatives based upon Her- mite polynomial is projected. The fractional derivatives are demonstrated ac- cording to Caputo sense. Hermite collocation ... See full document
16
Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty
... Theorem . ensures that operator T has at least one fixed point. In consequence, Eq. () has at least one continuous solution u defined on [,δ], where δ > and δ ≤ . Corollary . Under the conditions of ... See full document
14
On a fractional order Ebola epidemic model
... the population variable. This paper deals both with classical and fractional order SEIR (susceptible, exposed, infections, removed) Ebola epidemic model and its comparison with real data ... See full document
12
Numerical Simulation of Overland Flows Using Godunov Scheme Based on Finite Volume Method
... The simulated hydrographs for the three cases are shown in Fig.2. The simulation results agree very well with the approximated analytical solutions given by Govindaraju et al. (1990) [10]. From the Fig.2 we can see that ... See full document
8
Covariance Operators and the Central Limit Theory for "Loop" Markov Chains
... of fractional integrals and derivatives can been found in many fields of science and engineering such as viscoelasticity, fractional differential operators which have been used to describe materials ... See full document
9
Effects of HIV infection on CD4+ T cell population based on a fractional order model
... a population model for TB-HIV/AIDS coinfec- tion transmission dynamics, they applied optimal control theory to TB-HIV/AIDS model to study optimal strategies for the minimization of the number ... See full document
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