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On Solutions of Linear Fractional Differential Equations With Uncertainty

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Date

2013

Journal Title

Journal ISSN

Volume Title

Publisher

Hindawi Ltd

Open Access Color

GOLD

Green Open Access

No

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No
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Average
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Top 10%
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Top 10%

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Abstract

The solutions of linear fuzzy fractional differential equations (FFDEs) under the Caputo differentiability have been investigated. To this end, the fuzzy Laplace transform was used to obtain the solutions of FFDEs. Then, some new results regarding the relation between some types of differentiability have been obtained. Finally, some applicable examples are solved in order to show the ability of the proposed method.

Description

Salahshour, Soheil/0000-0003-1390-3551; Allahviranloo, Tofigh/0000-0002-6673-3560; Baloochshahryrai, Mohammadreza/0000-0002-9599-8090

Keywords

Statistics and Probability, Artificial intelligence, Fractional Differential Equations, Laplace transform, Economics, Fuzzy Differential Equations and Uncertainty Modeling, Mathematical analysis, Multi-Objective Transportation Problem Optimization, Engineering, Differential equation, Differentiable function, QA1-939, FOS: Mathematics, Linear differential equation, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Order (exchange), Applied mathematics, Computer science, Fuzzy Differential Equations, Fuzzy logic, Fractional Derivatives, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Fractional Calculus, Mathematics, Finance, Fuzzy ordinary differential equations, Fractional ordinary differential equations

Fields of Science

02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering

Citation

Allahviranloo, T...et al. (2013). "On Solutions of Linear Fractional Differential Equations with Uncertainty", Abstract and Applied Analysis.

WoS Q

Scopus Q

Q3
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OpenCitations Citation Count
8

Source

Abstract and Applied Analysis

Volume

2013

Issue

Start Page

1

End Page

13
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Citations

CrossRef : 3

Scopus : 13

Captures

Mendeley Readers : 11

SCOPUS™ Citations

13

checked on Feb 23, 2026

Web of Science™ Citations

6

checked on Feb 23, 2026

Page Views

1

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1.77768512

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