An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives

被引:2
|
作者
Ahmed, Shams A. [1 ,2 ]
机构
[1] Jouf Univ, Fac Sci & Arts, Dept Math, Tubarjal, Saudi Arabia
[2] Univ Gezira, Dept Math, Wad Madani, Sudan
关键词
PARTIAL-DIFFERENTIAL-EQUATIONS; CONVERGENCE; LAPLACE;
D O I
10.1155/2024/5958560
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, an efficient new technique is used for solving nonlinear fractional problems that satisfy specific criteria. This technique is referred to as the double conformable fractional Laplace-Elzaki decomposition method (DCFLEDM). This approach combines the double Laplace-Elzaki transform method with the Adomian decomposition method. The fundamental concepts and findings of the recently suggested transformation are presented. For the purpose of assessing the accuracy of our approach, we provide three examples and introduce the series solutions of these equations using DCLEDM. The results show that the proposed strategy is a very effective, reliable, and efficient approach for addressing nonlinear fractional problems using the conformable derivative.
引用
收藏
页数:17
相关论文
共 50 条
  • [31] Gruss Type Inequalities Involving New Conformable Fractional Integral Operators
    Set, Erhan
    Mumcu, Ilker
    Ozdemir, M. Emin
    1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
  • [32] AN EFFICIENT IMPLEMENTATION OF THE HARMONIC-BALANCE TECHNIQUE FOR SOLVING NONLINEAR MICROWAVE PROBLEMS
    NGUYEN, C
    CHRISTODOULOU, CG
    INTERNATIONAL JOURNAL OF INFRARED AND MILLIMETER WAVES, 1992, 13 (05): : 733 - 750
  • [33] Boundary value problems of hybrid fractional integro-differential systems involving the conformable fractional derivative
    Taier, Ala Eddine
    Wu, Ranchao
    Iqbal, Naveed
    AIMS MATHEMATICS, 2023, 8 (11): : 26260 - 26274
  • [34] An Approximate Method for Solving a Vibration Equation Involving Fractional Derivatives
    Razzaghi, Mohsen
    ACOUSTICS AND VIBRATION OF MECHANICAL STRUCTURES (AVMS-2017), 2018, 198 : 13 - 19
  • [35] New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations
    Thabet, Hayman
    Kendre, Subhash
    Chalishajar, Dimplekumar
    MATHEMATICS, 2017, 5 (04)
  • [36] Solving Nonlinear Transcendental Equations by Iterative Methods with Conformable Derivatives: A General Approach
    Candelario, Giro
    Cordero, Alicia
    Torregrosa, Juan R.
    Vassileva, Maria P.
    MATHEMATICS, 2023, 11 (11)
  • [37] On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives
    Turmetov, Batirkhan Kh.
    Usmanov, Kairat I.
    Nazarova, Kulzina Zh.
    FRACTAL AND FRACTIONAL, 2021, 5 (03)
  • [38] Solving Higher-Order Fractional Differential Equations by the Fuzzy Generalized Conformable Derivatives
    Harir, Atimad
    Melliani, Said
    Chadli, Lalla Saadia
    APPLIED COMPUTATIONAL INTELLIGENCE AND SOFT COMPUTING, 2021, 2021
  • [39] Existence of solutions for nonlinear problems involving mixed fractional derivatives with p(x)-Laplacian operator
    Sun, Bingzhi
    DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
  • [40] LYAPUNOV TYPE INEQUALITIES FOR NONLINEAR FRACTIONAL HAMILTONIAN SYSTEMS IN THE FRAME OF CONFORMABLE DERIVATIVES
    Zhang, Q., I
    Shao, J. I. N. G.
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2024, 7 (03): : 284 - 296