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

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 equationen_US
dc.subjectgeneralized fractional integralen_US
dc.subjectgeneralized Liouville–Caputo derivativeen_US
dc.subjectnonlocal boundary conditionsen_US
dc.subjectexistenceen_US
dc.subjectfixed pointen_US
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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