GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE

A. Armand; T. Allahviranloo; Z. Gouyandeh

doi:10.11948/2016010

2016 Volume 6 Issue 1

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A. Armand, T. Allahviranloo, Z. Gouyandeh. GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 119-130. doi: 10.11948/2016010

Citation:

A. Armand, T. Allahviranloo, Z. Gouyandeh. GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE[J]. Journal of Applied Analysis & Computation, 2016, 6(1): 119-130. doi: 10.11948/2016010

GENERAL SOLUTION OF BASSET EQUATION WITH CAPUTO GENERALIZED HUKUHARA DERIVATIVE

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Abstract

Abstract

In this paper, the fuzzy Basset equation is introduced. This problem is related to the motion of a sphere in a viscous liquid when its parameters are fuzzy numbers. We investigate the existence and uniqueness of solution with converting the problem to a system of fuzzy fractional differential equation, and the solution is also obtained under Caputo generalized Hukuhara differentiability. Some examples show the effectiveness and efficiency our approach.
- Caputo generalized Hukuhara differentiability /
- fuzzy Basset equation /
- system of fuzzy fractional differential equations
MSC: 34A07;34A08

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References

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