- Tytuł:
- Analytical Solution to Linear Conformable Fractional Partial Differential Equations
- Autorzy:
-
Dixit, Ajay
Ujlayan, Amit - Powiązania:
- https://bibliotekanauki.pl/articles/1159232.pdf
- Data publikacji:
- 2018
- Wydawca:
- Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
- Tematy:
-
Conformable fractional derivative
Fractional partial differential equation
Katugampola’s derivative
Method of separation of variables - Opis:
- An analytical solution is better than an approximate or series solution of a problem. Here we develop an analytical formulation to solve linear fractional order partial differential equations with given boundary conditions. We discuss the method for the simultaneous fractional derivative, in space as well as time and up to order two. Examples reflect the effectiveness and simplicity of the method. First we convert the fractional derivative into integer order derivative and then use method of separation of variables in usual sense to get the complete solution. The fractional derivative has been taken in the sense of Katugampola’s derivative.
- Źródło:
-
World Scientific News; 2018, 113; 49-56
2392-2192 - Pojawia się w:
- World Scientific News
- Dostawca treści:
- Biblioteka Nauki
Artykuł