The variational iteration method for fuzzy fractional differential equations with uncertainty

DOI10.1186/1687-1812-2013-13zbMath1285.34008OpenAlexW2107477112WikidataQ59294527 ScholiaQ59294527MaRDI QIDQ395222

Ercan Çelik, Ekhtiar Khodadadi

Publication date: 29 January 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-13

zbMATH Keywords

Mittag-Leffler functionfuzzy numberRiemann-Liouville fractional derivativevariational iteration methodfuzzy initial value problems

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional ordinary differential equations (34A08) Fuzzy ordinary differential equations (34A07)

Related Items (9)

The solution of fuzzy variational problem and fuzzy optimal control problem under granular differentiability concept ⋮ Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: theorems and applications ⋮ Solving fuzzy fractional differential equations by a generalized differential transform method ⋮ Well-posedness and stability for fuzzy fractional differential equations ⋮ Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations ⋮ Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator ⋮ Generalized sine–cosine wavelet method for Caputo–Hadamard fractional differential equations ⋮ Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro-differential equations ⋮ Approximate solutions of fuzzy differential equations of fractional order using modified reproducing kernel Hilbert space method

Cites Work

• On the fractional differential equations with uncertainty
• He's variational iteration method for solving fractional Riccati differential equation
• On the concept of solution for fractional differential equations with uncertainty
• Solution of system of fractional differential equations by Adomian decomposition method
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