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Existence and approximation of solutions of fractional order iterative differential equations

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Central European Journal of Physics

Abstract

In this paper, we investigate existence and approximation of solutions of fractional order iterative differential equations by virtue of nonexpansive mappings, fractional calculus and fixed point methods. Three existence theorems as well as convergence theorems for a fixed point iterative method designed to approximate these solutions are obtained in two different work spaces via Chebyshev’s norm, Bielecki’s norm and β norm. Finally, an example is given to illustrate the obtained results.

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University Guiyang, Guizhou, 550025, P.R. China

    JianHua Deng & JinRong Wang

  2. School of Mathematics and Computer Science, Guizhou Normal College Guiyang, Guizhou, 550018, P.R. China

    JinRong Wang

Authors
  1. JianHua Deng
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  2. JinRong Wang
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Correspondence to JinRong Wang.

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Deng, J., Wang, J. Existence and approximation of solutions of fractional order iterative differential equations. centr.eur.j.phys. 11, 1377–1386 (2013). https://doi.org/10.2478/s11534-013-0270-9

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  • DOI: https://doi.org/10.2478/s11534-013-0270-9

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