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dc.contributor.author | Das, Pratibhamoy | |
dc.contributor.author | Rana, Subrata | |
dc.contributor.author | Ramos Calle, Higinio | |
dc.date.accessioned | 2024-04-03T11:15:25Z | |
dc.date.available | 2024-04-03T11:15:25Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Das, P., Rana, S., & Ramos, H. (2020). A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis. International Journal of Computer Mathematics, 97(10), 1994–2014. https://doi.org/10.1080/00207160.2019.1673892 | es_ES |
dc.identifier.issn | 0020-7160 | |
dc.identifier.uri | http://hdl.handle.net/10366/157027 | |
dc.description.abstract | [EN]The present work considers the approximation of solutions of a type of fractional-order Volterra–Fredholm integro-differential equations, where the fractional derivative is introduced in Caputo sense. In addition, we also present several applications of the fractional-order differential equations and integral equations. Here, we provide a sufficient condition for existence and uniqueness of the solution and also obtain an a priori bound of the solution of the present problem. Then, we discuss about the higher-order model equation which can be written as a system of equations whose orders are less than or equal to one. Next, we present an approximation of the solution of this problem by means of a perturbation approach based on homotopy analysis. Also, we discuss the convergence analysis of the method. It is observed through different examples that the adopted strategy is a very effective one for good approximation of the solution, even for higher-order problems. It is shown that the approximate solutions converge to the exact solution, even for higher-order fractional differential equations. In addition, we show that the present method is highly effective compared to the existed method and produces less error. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Taylor and Francis | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Fractional integro differential equation | es_ES |
dc.subject | Caputo fractional derivative | es_ES |
dc.subject | Volterra–Fredholm integral equation | es_ES |
dc.subject | Approximation theory | es_ES |
dc.subject | Convergence analysis | es_ES |
dc.subject | Perturbation approach | es_ES |
dc.subject | Experimental evidence | es_ES |
dc.title | A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis. | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publishversion | https://www.tandfonline.com/doi/full/10.1080/00207160.2019.1673892 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.essn | 1029-0265 | |
dc.journal.title | International Journal of Computer Mathematics | es_ES |
dc.volume.number | 97 | es_ES |
dc.issue.number | 10 | es_ES |
dc.page.initial | 1994 | es_ES |
dc.page.final | 2014 | es_ES |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |