"Generalized Fractional Sturm-Liouville and Langevin Equations Involvin" by Sabri Thabet Mothana Thabet, Machindra Baburao Dhakne et al.

Progress in Fractional Differentiation & Applications

Article Title

Generalized Fractional Sturm-Liouville and Langevin Equations Involving Caputo Derivative with Nonlocal Conditions

Authors

Sabri Thabet Mothana Thabet, Department of Mathematics, Aden University, Aden, YemenFollow
Machindra Baburao Dhakne
Mohammed Abdullah Salman
Rqeeb Gubran

Author Country (or Countries)

Yemen

Abstract

The present paper addresses, generalized fractional Sturm-Liouville and Langevin equations with nonlocal conditions. Sufficient conditions of the existence and uniqueness for solutions of such equations investigated by applying fixed point theorems and Pachpatte’s integral inequality. An example is presented to illustrate the main results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060306

Recommended Citation

Thabet Mothana Thabet, Sabri; Baburao Dhakne, Machindra; Abdullah Salman, Mohammed; and Gubran, Rqeeb (2020) "Generalized Fractional Sturm-Liouville and Langevin Equations Involving Caputo Derivative with Nonlocal Conditions," Progress in Fractional Differentiation & Applications: Vol. 6: Iss. 3, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/060306
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol6/iss3/6

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