Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations

Xuezhu Li; Milan Medveď; Jin Rong Wang

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2014)

  • Volume: 53, Issue: 2, page 85-100
  • ISSN: 0231-9721

Abstract

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In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.

How to cite

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Li, Xuezhu, Medveď, Milan, and Wang, Jin Rong. "Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 53.2 (2014): 85-100. <http://eudml.org/doc/262208>.

@article{Li2014,
abstract = {In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.},
author = {Li, Xuezhu, Medveď, Milan, Wang, Jin Rong},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Nonlinear fractional Langevin equations; boundary value problems; existence; fixed point theorem; nonlinear fractional Langevin equations; boundary value problems; existence; fixed point theorem},
language = {eng},
number = {2},
pages = {85-100},
publisher = {Palacký University Olomouc},
title = {Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations},
url = {http://eudml.org/doc/262208},
volume = {53},
year = {2014},
}

TY - JOUR
AU - Li, Xuezhu
AU - Medveď, Milan
AU - Wang, Jin Rong
TI - Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2014
PB - Palacký University Olomouc
VL - 53
IS - 2
SP - 85
EP - 100
AB - In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.
LA - eng
KW - Nonlinear fractional Langevin equations; boundary value problems; existence; fixed point theorem; nonlinear fractional Langevin equations; boundary value problems; existence; fixed point theorem
UR - http://eudml.org/doc/262208
ER -

References

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