4.5 Article

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

Related references

Note: Only part of the references are listed.
Article Computer Science, Artificial Intelligence

Bi-parametric distance and similarity measures of picture fuzzy sets and their applications in medical diagnosis

Muhammad Jabir Khan et al.

Summary: The concept of picture fuzzy sets (PFS) is a generalization of existing fuzzy sets, characterized by positive, neutral, and negative membership functions. This paper introduces new similarity measures for PFS based on two parameters, discussing their properties and providing examples of their importance in pattern recognition. The proposed similarity measure is shown to be applicable in various fields, including medical diagnosis.

EGYPTIAN INFORMATICS JOURNAL (2021)

Article Computer Science, Interdisciplinary Applications

Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method

Lanre Akinyemi et al.

Summary: This paper focuses on multidimensional mathematical physics models, utilizing the sub-equation method to obtain new accurate solutions to strongly nonlinear time-fractional differential equations. The results demonstrate the efficiency and power of this method in solving nonlinear fractional partial differential equations.

MATHEMATICS AND COMPUTERS IN SIMULATION (2021)

Article Thermodynamics

NEW LAPLACE-TYPE INTEGRAL TRANSFORM FOR SOLVING STEADY HEAT TRANSFER PROBLEM

Shehu Maitama et al.

Summary: The paper proposes a new Laplace-type integral transform for solving steady heat transfer problems, which is a generalization of the Sumudu, Laplace, and Elzaki transforms. The results obtained from the suggested integral transform are compared with existing techniques.

THERMAL SCIENCE (2021)

Article Computer Science, Artificial Intelligence

An adjustable weighted soft discernibility matrix based on generalized picture fuzzy soft set and its applications in decision making

Muhammad Jabir Khan et al.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS (2020)

Article Mathematics, Applied

A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations

Lanre Akinyemi et al.

ADVANCES IN DIFFERENCE EQUATIONS (2020)

Article Mathematics, Applied

Exact and approximate solutions of time-fractional models arising from physics via Shehu transform

Lanre Akinyemi et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020)

Article Engineering, Multidisciplinary

Evaluation of one dimensional fuzzy fractional partial differential equations

Kamal Shah et al.

ALEXANDRIA ENGINEERING JOURNAL (2020)

Article Mathematics

Application of Shehu transform to Atangana-Baleanu derivatives

Ahmed Bokhari et al.

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS (2020)

Article Computer Science, Theory & Methods

Fuzzy Laplace transform based on the Henstock integral and its applications in discontinuous fuzzy systems

Zengtai Gong et al.

FUZZY SETS AND SYSTEMS (2019)

Article Computer Science, Artificial Intelligence

Numerical solutions of fuzzy fractional diffusion equations by an implicit finite difference scheme

Hamzeh Zureigat et al.

NEURAL COMPUTING & APPLICATIONS (2019)

Article Mathematics, Applied

Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets

Shehu Maitama et al.

COMPUTATIONAL & APPLIED MATHEMATICS (2019)

Article Multidisciplinary Sciences

Generalized Picture Fuzzy Soft Sets and Their Application in Decision Support Systems

Muhammad Jabir Khan et al.

SYMMETRY-BASEL (2019)

Article Physics, Mathematical

Similarity Measures of Sequence of Fuzzy Numbers and Fuzzy Risk Analysis

Zarife Zararsiz

ADVANCES IN MATHEMATICAL PHYSICS (2015)

Review Engineering, Multidisciplinary

A Review of Definitions for Fractional Derivatives and Integral

Edmundo Capelas de Oliveira et al.

MATHEMATICAL PROBLEMS IN ENGINEERING (2014)

Article Computer Science, Artificial Intelligence

Fuzzy fractional differential equations under generalized fuzzy Caputo derivative

T. Allahviranloo et al.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS (2014)

Review Physics, Multidisciplinary

Fractional calculus: A survey of useful formulas

D. Valerio et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2013)

Article Computer Science, Artificial Intelligence

A novel solution procedure for fuzzy fractional heat equations by homotopy analysis transform method

Ahmed Salah et al.

NEURAL COMPUTING & APPLICATIONS (2013)

Article Mathematics, Applied

Solving fuzzy fractional differential equations by fuzzy Laplace transforms

S. Salahshour et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2012)

Article Computer Science, Information Systems

The Henstock-Stieltjes integral for fuzzy-number-valued functions

Zengtai Gong et al.

INFORMATION SCIENCES (2012)

Article Computer Science, Interdisciplinary Applications

Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

Cem Celik et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2012)

Article Computer Science, Artificial Intelligence

Explicit solutions of fractional differential equations with uncertainty

T. Allahviranloo et al.

SOFT COMPUTING (2012)

Bibliography Mathematics, Applied

Recent history of fractional calculus

J. Tenreiro Machado et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2011)

Article Mathematics, Applied

On the concept of solution for fractional differential equations with uncertainty

Ravi P. Agarwal et al.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2010)

Article Computer Science, Artificial Intelligence

Fuzzy Laplace transforms

Tofigh Allahviranloo et al.

SOFT COMPUTING (2010)

Article Mathematics, Interdisciplinary Applications

Homotopy perturbation method for fractional KdV-Burgers equation

Qi Wang

CHAOS SOLITONS & FRACTALS (2008)