Abstract
In this research article, a new analytical technique is implemented to solve system of fractional-order partial differential equations. The fractional derivatives are carried out with the help of Caputo fractional derivative operator. The direct implementation of Mohand and its inverse transformation provide sufficient easy less and reliability of the proposed method. Decomposition method along with Mohand transformation is proceeded to attain the analytical solution of the targeted problems. The applicability of the suggested method is analyzed through illustrative examples. The solutions graph has the best contact with the graphs of exact solutions in paper. Moreover, the convergence of the present technique is sufficiently fast, so that it can be considered the best technique to solve system of nonlinear fractional-order partial differential equations.
Highlights
In a few decades, it has been observed that fractional analysis has tremendous applications in many branches of science
It is on the basses that in many physical phenomena, experiments have proved that fractional order derivatives have good agreements with experimental data or real phenomena as compared to integer order derivatives
The Mohand Transform is one of the new integral transform use for the analytical treatment of different physical phenomena molded by Ordinary Differential Equations (ODEs), Partial Differential Equations (PDEs) or Fractional Partial Differential Equations (FPDEs)
Summary
It has been observed that fractional analysis has tremendous applications in many branches of science. The recent applications of fractional calculus in different filed attract the whole concentration of researchers and from which many results are concluded These results have contributed in many fields of science, numerous applications in various fields of science, such as fractional diffusion and fractional Buck master’s equation [5], fractional-order time delay system [59]. The aim of this study is to propose an analytic solution for the one dimensional time fractional system of PDEs by using new integral transform called Mohand transform. The Mohand Transform is one of the new integral transform use for the analytical treatment of different physical phenomena molded by Ordinary Differential Equations (ODEs), Partial Differential Equations (PDEs) or Fractional Partial Differential Equations (FPDEs). Sudhanshu Aggarwal have Comparatively Studied Mohand and Aboodh transforms for the solution of differential equations.
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