Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives

DOI10.1007/s40314-021-01476-9zbMath1476.34009OpenAlexW3136596052WikidataQ115373627 ScholiaQ115373627MaRDI QIDQ2243983

Shehu Maitama, Weidong Zhao

Publication date: 11 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01476-9

zbMATH Keywords

Caputo gH-derivativefuzzy differential equations of integer and non-integer order derivativesfuzzy Shehu transform methodhomotopy analysis transform algorithmnumeric-symbolic computation

Mathematics Subject Classification ID

Laplace transform (44A10) Fractional partial differential equations (35R11) Fuzzy partial differential equations (35R13) Fuzzy ordinary differential equations (34A07)

Related Items (5)

Study of fuzzy fractional third-order dispersive KdV equation in a plasma under Atangana-Baleanu derivative ⋮ Analysis of fuzzy Kuramoto-Sivashinsky equations under a generalized fuzzy fractional derivative operator ⋮ Novel analysis of fuzzy physical models by generalized fractional fuzzy operators ⋮ Initial value problems in type-2 fuzzy environment ⋮ A novel hybrid technique to obtain the solution of generalized fractional-order differential equations

Cites Work

• Similarity measures of sequence of fuzzy numbers and fuzzy risk analysis
• Solving fuzzy fractional differential equations by fuzzy Laplace transforms
• The Henstock-Stieltjes integral for fuzzy-number-valued functions
• Recent history of fractional calculus
• On the concept of solution for fractional differential equations with uncertainty
• New results on multiple solutions for \(N\)th-order fuzzy differential equations under generalized differentiability
• Fuzzy partitions and relations; an axiomatic basis for clustering
• The concept of a linguistic variable and its application to approximate reasoning. II
• Solution of fuzzy differential equations using fuzzy Sumudu transforms
• A review of definitions for fractional derivatives and integral
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• Probability-possibility transformations, triangular fuzzy sets, and probabilistic inequalities
• An approximate solution technique not depending on small parameters: A special example
• Explicit solutions of fractional differential equations with uncertainty
• Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method
• A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations
• Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent-Miodek system with energy-dependent Schrödinger potential
• Approximate solution of time-fractional fuzzy partial differential equations
• Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets
• Fuzzy Laplace transform based on the Henstock integral and its applications in discontinuous fuzzy systems
• Generalized picture fuzzy soft sets and their application in decision support systems
• Fuzzy Laplace transforms
• Homotopy perturbation method for fractional KdV-Burgers equation
• Fuzzy Arbitrary Order System
• On Fuzzy Mapping and Control
• New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations
• Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform
• Fuzzy fractional differential equations under generalized fuzzy Caputo derivative
• Fuzzy sets
• Fuzzy random variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives