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- Mokhtar Kirane, Yuri V. Rogovchenko
- Applied Mathematics and Computation
- 2001

We present new oscillation criteria for the second order nonlinear diÂ€erential equation with damping. Our theorems are stated in general form; they complement and extend related results known in theâ€¦ (More)

- Eduardo Cuesta, Mokhtar Kirane, Salman A. Malik
- Signal Processing
- 2012

A generalization of the linear fractional integral equatio n u(t) = u0 + âˆ‚âˆ’Î±Au(t), 1 < Î± < 2, which is written as a Volterra matrixâ€“valued equation when applied as a pixelâ€“by â€“pixel technique, hasâ€¦ (More)

- Mokhtar Kirane, Salman A. Malik
- Applied Mathematics and Computation
- 2011

We consider the inverse problem of finding the temperature distribution and the heat source whenever the temperatures at the initial time and the final time are given. The problem considered is oneâ€¦ (More)

- Khaled M. Furati, Olaniyi Samuel Iyiola, Mokhtar Kirane
- Applied Mathematics and Computation
- 2014

We propose a method for determining the solution and source term of a generalized timefractional diffusion equation. The method is based on selecting a bi-orthogonal basis of L space corresponding toâ€¦ (More)

- Mohamed Jleli, Mokhtar Kirane, Bessem Samet
- Appl. Math. Lett.
- 2017

We present Lyapunov inequalities for the fractional p-Laplacian (âˆ’âˆ†p), 1 < p < âˆž, s âˆˆ (0, 1), in an open bounded set Î© âŠ‚ RN , under homogeneous Dirichlet boundary conditions. We discuss two cases,â€¦ (More)

and Applied Analysis 3 is called the Riemann-Liouville fractional integral of h of order Î± > 0 when the right side exists. Here Î“ is the usual Gamma function

This article presents necessary conditions for the existence of weak solutions of the following space-nonlocal evolution equations on HÃ— (0, +âˆž), where H is the Heisenberg group: âˆ‚2u âˆ‚t2 + (âˆ’âˆ†H)|u| =â€¦ (More)

Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument

- Marat Akhmet, Mehmet Onur Fen, Mokhtar Kirane
- Neural Computing and Applications
- 2015

We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability ofâ€¦ (More)

- S. Kerbal, Mokhtar Kirane
- 2014

and Applied Analysis 3 2. Results Solutions to 1.1 subject to conditions 1.2 are meant in the following weak sense. Definition 2.1. A function u âˆˆ Lmloc Q âˆ© L p loc Q is called a weak solution to 1.1â€¦ (More)