On the analysis of an analytical approach for fractional Caudrey-Dodd-Gibbon equations

The principal aim of this paper is to study the approximate solution of nonlinear Caudrey-Dodd-Gibbon equation of fractional order by employing an analytical method. The Caudrey-Dodd-Gibbon equation arises in plasma physics and laser optics. The Caputo derivative is applied to model the physical pro...

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التفاصيل البيبلوغرافية
الحاوية / القاعدة:Alexandria Engineering Journal
المؤلفون الرئيسيون: Jagdev Singh, Arpita Gupta, Dumitru Baleanu
التنسيق: مقال
اللغة:الإنجليزية
منشور في: Elsevier 2022-07-01
الموضوعات:
الوصول للمادة أونلاين:http://www.sciencedirect.com/science/article/pii/S1110016821006554
الوصف
الملخص:The principal aim of this paper is to study the approximate solution of nonlinear Caudrey-Dodd-Gibbon equation of fractional order by employing an analytical method. The Caudrey-Dodd-Gibbon equation arises in plasma physics and laser optics. The Caputo derivative is applied to model the physical problem. By applying an effective semi-analytical technique, we attain the approximate solutions without linearization. The uniqueness and the convergence analysis for the applied method are shown. The graphical representation of solutions of fractional Caudrey-Dodd-Gibbon equation demonstrates the applied technique is very efficient to obtain the solutions of such type of fractional order mathematical models.
تدمد:1110-0168