Solution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method

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dc.contributor.authorAli, Mohamed R.
dc.contributor.authorHadhoud, Adel R.
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2020-11-30T22:52:11Z
dc.date.available2020-11-30T22:52:11Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractA new approximate technique is introduced to find a solution of FVFIDE with mixed boundary conditions. This paper started from the meaning of Caputo fractional differential operator. The fractional derivatives are replaced by the Caputo operator, and the solution is demonstrated by the hybrid orthonormal Bernstein and block-pulse functions wavelet method (HOBW). We demonstrate the convergence analysis for this technique to emphasize its reliability. The applicability of the HOBW is demonstrated using three examples. The approximate results of this technique are compared with the correct solutions, which shows that this technique has approval with the correct solutions to the problems.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationAli, M. R., Hadhoud, A. R., & Srivastava, H. M. (2019). Solution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method. Advances in Difference Equations, 2019(1). https://doi.org/10.1186/s13662-019-2044-1en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-019-2044-1
dc.identifier.urihttp://hdl.handle.net/1828/12420
dc.language.isoenen_US
dc.publisherAdvances in Difference Equationsen_US
dc.subjectOrthonormal Bernstein
dc.subjectBlock-pulse functions
dc.subjectWavelet method
dc.subjectFractional integro-differential equations
dc.subjectFractional calculus
dc.subjectApproximate solution
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleSolution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW methoden_US
dc.typeArticleen_US

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