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Study of Fractional Boundary Value Problem Using Mittag-Leffler Function with Two Point Periodic Boundary Conditions

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Abstract

In this paper, two point periodic boundary value problem of fractional differential equation involving Caputo fractional derivative of order \(2<\alpha \le 3\) are studied. Some properties of Mittag-Leffler function are used. Some important and useful results are investigated related to existence and uniqueness of fractional differential equations in terms of Mittag-Leffler by applying fixed point theorems. Three examples are given to illustrate the results.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan

    Ghazala Akram & Fareeha Anjum

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  1. Ghazala Akram
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  2. Fareeha Anjum
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Correspondence to Ghazala Akram.

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Akram, G., Anjum, F. Study of Fractional Boundary Value Problem Using Mittag-Leffler Function with Two Point Periodic Boundary Conditions. Int. J. Appl. Comput. Math 4, 27 (2018). https://doi.org/10.1007/s40819-017-0464-8

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  • DOI: https://doi.org/10.1007/s40819-017-0464-8

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