Analytical Solution of Linear Fractional Partial Dierential Equation of Order 0 \(<\) \(\alpha\) \(\leq\)1
نویسندگان
چکیده
The paper aims to obtain exact analytical solution of linear nonhomogeneous space-time fractional order partial differential equation by improved Adomian decomposition method coupled with Taylor expansion series. these equations are in series form may have rapid convergence a closed-form solution. effectiveness and sharpness this is shown obtaining the suitable initial conditions (ICs). With help method, it possible investigate nature solutions when we vary derivative. Behaviour represented graphs using Matlab software.
منابع مشابه
Positive Solution for Boundary Value Problem of Fractional Dierential Equation
In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.
متن کاملPositive solution for boundary value problem of fractional dierential equation
In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.
متن کاملNew Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order
In this work, we have applied Elzaki transform and He's homotopy perturbation method to solvepartial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per-turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopyperturbation method in order to reformulate initial value problem. Some illustrative examples aregiven in ord...
متن کاملAnalytical solution of the Hunter-Saxton equation using the reduced dierential transform method
In this paper, the reduced dierential transform method is investigated fora nonlinear partial dierential equation modeling nematic liquid crystals, itis called the Hunter-Saxton equation. The main advantage of this methodis that it can be applied directly to nonlinear dierential equations withoutrequiring linearization, discretization, or perturbation. It is a semi analytical-numerical method t...
متن کاملA solution to the fundamental linear fractional order differential equation.
This paper provides a solution to the fundamental linear fractional order differential equation, namely, cdtqx(t) + ax(t) = bu(t). The impulse response solution is shown to be a series, named the F-function, which generalizes the normal exponential function. The F-function provides the basis for a qth order "fractional pole". Complex plane behavior is elucidated and a simple example, the induct...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of advances in mathematics and computer science
سال: 2022
ISSN: ['2456-9968']
DOI: https://doi.org/10.9734/jamcs/2022/v37i530451