The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral

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dc.contributor.authorAhmad, Bashir
dc.contributor.authorAlghanmi, Madeaha
dc.contributor.authorAlsaedi, Ahmed
dc.contributor.authorSrivastava, Hari M.
dc.contributor.authorNtouyas, Sotiris K.
dc.date.accessioned2019-07-15T22:23:10Z
dc.date.available2019-07-15T22:23:10Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractIn this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary conditions involving a generalized integral operator. The modern techniques of functional analysis are employed to obtain the desired results. The paper concludes with illustrative examples.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia, under Grant No. KEP-PhD-24-130-40. The authors acknowledge with thanks the DSR’s technical and financial support. The authors also acknowledge the reviewers for their constructive remarks on our work.en_US
dc.identifier.citationAhmad, B., Alghanmi, M., Alsaedi, A., Srivastava, H.M. & Ntouyas, S.K. (2019). The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral. Mathematics, 7(6), 533. http://dx.doi.org/10.3390/math7060533en_US
dc.identifier.urihttp://dx.doi.org/10.3390/math7060533
dc.identifier.urihttp://hdl.handle.net/1828/10967
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectLangevin equation
dc.subjectgeneralized fractional integral
dc.subjectgeneralized Liouville–Caputo derivative
dc.subjectnonlocal boundary conditions
dc.subjectexistence
dc.subjectfixed point
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleThe Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integralen_US
dc.typeArticleen_US

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