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4 Results Found

  • Article
  • Open Access
24 Citations
6,855 Views
20 Pages

1 July 2015

In this paper, we study the classical Sumudu transform in fuzzy environment, referred to as the fuzzy Sumudu transform (FST). We also propose some results on the properties of the FST, such as linearity, preserving, fuzzy derivative, shifting and con...

(This article belongs to the Special Issue Dynamical Equations and Causal Structures from Observations)
  • Article
  • Open Access
32 Citations
3,312 Views
13 Pages

In this paper, the double fuzzy Sumudu transform (DFST) method was used to find the solution to partial Volterra fuzzy integro-differential equations (PVFIDE) with convolution kernel under Hukuhara differentiability. Fundamental results of the double...

(This article belongs to the Special Issue Recent Investigations of Differential and Fractional Equations and Inclusions)
  • Article
  • Open Access
18 Citations
4,613 Views
15 Pages

The uncertain nonlinear systems can be modeled with fuzzy differential equations (FDEs) and the solutions of these equations are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs. In this paper, t...

(This article belongs to the Special Issue Optimization in Control Applications)
  • Article
  • Open Access
4 Citations
2,741 Views
41 Pages

Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives

  • Mawia Osman,
  • Muhammad Marwan,
  • Syed Omar Shah,
  • Lamia Loudahi and ,
  • Mahvish Samar,
  • Ebrima Bittaye and
  • Altyeb Mohammed Mustafa
  • + 2 authors+ 0 author

In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local fract...

(This article belongs to the Special Issue Application of Anomalous Diffusion Modeling Based on Fractal and Fractional Derivatives)