The first integral method for solving some conformable fractional differential equations

M Ilie, J Biazar, Z Ayati - Optical and Quantum Electronics, 2018 - Springer
Analytic behavior of fractional differential equations are often seems confusing. Thus, finding
comprehensive methods for solving those sounds of high importance. In the present study …

Resonant solitons to the nonlinear Schrödinger equation with different forms of nonlinearities

M Ilie, J Biazar, Z Ayati - Optik, 2018 - Elsevier
In this research the conformable time-fractional resonant nonlinear Schrödinger equation
with different forms of nonlinearities, including Kerr-law and parabolic-law has been studied …

Analytical study of exact traveling wave solutions for time-fractional nonlinear Schrödinger equations

M Ilie, J Biazar, Z Ayati - Optical and Quantum Electronics, 2018 - Springer
The present paper deals with the time-fractional unstable nonlinear Schrödinger equation
and the time fractional modified unstable nonlinear Schrödinger equation in the conformable …

[PDF][PDF] Analytical solutions for conformable fractional Bratu-type equations

M Ilie, J Biazar, Z Ayati - International journal of applied …, 2018 - academia.edu
Solving fractional differential equations have a prominent function in different science such
as physics and engineering. Therefore, are different definitions of the fractional derivative …

[PDF][PDF] Optimal homotopy asymptotic method for first-order conformable fractional differential equations

M Ilie, J Biazar, Z Ayati - Journal of fractional calculus and …, 2019 - jfca.journals.ekb.eg
In this article, optimal homotopy asymptotic method is presented to solve linear and
nonlinear first-order conformable fractional differential equations that, is named conformable …

[PDF][PDF] General solution of second order fractional differential equations

M Ilie, J Biazar, Z Ayati - International Journal of Applied …, 2018 - researchgate.net
Fractional differential equations are often seeming perplexing to solve. Therefore, finding
comprehensive methods for solving them sounds of high importance. In this paper, a …

[PDF][PDF] Lie Symmetry Analysis for the solution of first-order linear and nonlinear fractional differential equations

M Ilie, J Biazar, Z Ayati - Int. J. Appl. Math. Res, 2018 - researchgate.net
Obtaining analytical or numerical solution of fractional differential equations is one of the
troublesome and challenging issues among mathematicians and engineers, specifically in …

Neumann method for solving conformable fractional Volterra integral equations

M Ilie, J Biazar, Z Ayati - Computational Methods for Differential …, 2020 - cmde.tabrizu.ac.ir
This paper deals with the solution of a class of Volterra integral equations in the sense of the
conformable fractional derivative. For this goal, the well-organized Neumann method is …

Mellin transform and conformable fractional operator: applications

M Ilie, J Biazar, Z Ayati - SeMA Journal, 2019 - Springer
A wide range of fractional differential equations in applied sciences can be solved by
integral transformations. In the present work, first some new theorems related to the Mellin …

[PDF][PDF] AN APPLICATION OF THE FIRST INTEGRAL METHOD FOR TIME M-FRACTIONAL DIFFERENTIAL EQUATIONS

M ILIE - Journal of Fractional Calculus and Applications, 2022 - jfca.journals.ekb.eg
Analytic behavior of fractional differential equations is often seeming perplexing, thus
determination comprehensive methods for solving them could mostly have a high …