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Your search keyword '"strongly generalized Hukuhara differentiability"' showing total 4 results
Start Over Descriptor "strongly generalized Hukuhara differentiability" Journal journal of intelligent & fuzzy systems
4 results on '"strongly generalized Hukuhara differentiability"'

1. Existence, uniqueness and Eq-Ulam type stability of fuzzy fractional differential equations with parameters1.

Author

Wang, Yupin and Sun, Shurong

Subjects
*INITIAL value problems, *FRACTIONAL differential equations, *NONLINEAR equations, *CAUCHY problem
Abstract

This paper reports the investigation of the existence and uniqueness of solution to Cauchy problems for a class of nonlinear fuzzy fractional differential equations with the Riemann-Liouville H-derivative. Further, Eq-Ulam type stability results are presented by using direct analysis methods. Finally, several numerical simulations are provided to verify the correctness and effectiveness of the main results. [ABSTRACT FROM AUTHOR]

Published
2019
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2. Existence, uniqueness and Eq-Ulam type stability of fuzzy fractional differential equations with parameters1.

Author

Wang, Yupin and Sun, Shurong

Subjects
INITIAL value problems, FRACTIONAL differential equations, NONLINEAR equations, CAUCHY problem
Abstract

This paper reports the investigation of the existence and uniqueness of solution to Cauchy problems for a class of nonlinear fuzzy fractional differential equations with the Riemann-Liouville H-derivative. Further, Eq-Ulam type stability results are presented by using direct analysis methods. Finally, several numerical simulations are provided to verify the correctness and effectiveness of the main results. [ABSTRACT FROM AUTHOR]

Published
2019
Full Text
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3. On fuzzy fractional Schrödinger equations under Caputo’s <italic>H</italic>-differentiability1.

Author

Wang, Yupin, Sun, Shurong, and Han, Zhenlai

Subjects
*FRACTIONAL differential equations, *INITIAL value problems, *FIXED point theory, *CAPUTO fractional derivatives, *UNIQUENESS (Mathematics)
Abstract

In this paper, we initiate to investigate the existence and uniqueness of solutions to initial value problems for fuzzy fractional Schrödinger equations involving the Caputo’s H-derivative. Continuous dependence on initial values of the solution is also considered. Our results are based on a successive approximation method and the Banach contraction mapping principle. Two examples are presented for our new results. [ABSTRACT FROM AUTHOR]

Published
2018
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4. On fuzzy fractional Schrödinger equations under Caputo’s <italic>H</italic>-differentiability1.

Author

Wang, Yupin, Sun, Shurong, and Han, Zhenlai

Subjects
FRACTIONAL differential equations, INITIAL value problems, FIXED point theory, CAPUTO fractional derivatives, UNIQUENESS (Mathematics)
Abstract

In this paper, we initiate to investigate the existence and uniqueness of solutions to initial value problems for fuzzy fractional Schrödinger equations involving the Caputo’s H-derivative. Continuous dependence on initial values of the solution is also considered. Our results are based on a successive approximation method and the Banach contraction mapping principle. Two examples are presented for our new results. [ABSTRACT FROM AUTHOR]

Published
2018
Full Text
View/download PDF

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