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5 Results Found

  • Article
  • Open Access
48 Citations
4,391 Views
12 Pages

In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equatio...

  • Article
  • Open Access
31 Citations
5,340 Views
9 Pages

On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations

  • Hossein Jafari,
  • Hassan Kamil Jassim,
  • Maysaa Al Qurashi and
  • Dumitru Baleanu

23 November 2016

In this manuscript, we prove the existence and uniqueness of solutions for local fractional differential equations (LFDEs) with local fractional derivative operators (LFDOs). By using the contracting mapping theorem (CMT) and increasing and decreasin...

  • Article
  • Open Access
64 Citations
3,369 Views
8 Pages

In this paper, we apply a new technique, namely, the local fractional Laplace homotopy perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain analytical approximate solutions. The iteration procedure is based on local fr...

  • Article
  • Open Access
60 Citations
3,996 Views
12 Pages

Solving Helmholtz Equation with Local Fractional Derivative Operators

  • Dumitru Baleanu,
  • Hassan Kamil Jassim and
  • Maysaa Al Qurashi

The paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and the local fractional variational iteration method (LFVIM...

  • Article
  • Open Access
1 Citations
2,380 Views
19 Pages

24 February 2025

As a potential high-quality protein food, peas are enriched in protein and fibre. This study investigated the judicious utilisation of pea fibre and the impact of maternal diet on offspring health in mice. Thirty-six eight-week-old, female, healthy C...