Research Article

GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS

Volume: 4 Number: 2 October 1, 2016
EN

GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS

Abstract

In this paper, some new generalized Gronwall-type inequalities are investigated for conformable differential equations. The established results are extensions of some existing Gronwall-type inequalities in the literature.

Keywords

References

  1. [1] T. Abdeljawad, On conformable fractional calculus, Journal of Computational and Applied Mathematics 279 (2015) 57{66.
  2. [2] D. R. Anderson and D. J. Ulness, Results for conformable di erential equations, preprint, 2016.
  3. [3] A. Atangana, D. Baleanu, and A. Alsaedi, New properties of conformable derivative, Open Math. 2015; 13: 889{898.
  4. [4] R. Khalil, M. Al horani, A. Yousef, M. Sababheh, A new de nition of fractional derivative, Journal of Computational Apllied Mathematics, 264 (2014), 65-70.
  5. [5] O.S. Iyiola and E.R.Nwaeze, Some new results on the new conformable fractional calculus with application using D'Alambert approach, Progr. Fract. Differ. Appl., 2(2), 115-122, 2016.
  6. [6] M. Abu Hammad, R. Khalil, Conformable fractional heat differential equations, International Journal of Differential Equations and Applications 13( 3), 2014, 177-183.
  7. [7] M. Abu Hammad, R. Khalil, Abel's formula and wronskian for conformable fractional differential equations, International Journal of Differential Equations and Applications 13( 3), 2014, 177-183.
  8. [8] U. Katugampola, A new fractional derivative with classical properties, ArXiv:1410.6535v2.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

October 1, 2016

Submission Date

June 4, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 2

APA
Sarıkaya, M. Z. (2016). GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics, 4(2), 217-222. https://izlik.org/JA58GW56BY
AMA
1.Sarıkaya MZ. GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS. Konuralp J. Math. 2016;4(2):217-222. https://izlik.org/JA58GW56BY
Chicago
Sarıkaya, MEHMET ZEKI. 2016. “GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 4 (2): 217-22. https://izlik.org/JA58GW56BY.
EndNote
Sarıkaya MZ (October 1, 2016) GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics 4 2 217–222.
IEEE
[1]M. Z. Sarıkaya, “GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS”, Konuralp J. Math., vol. 4, no. 2, pp. 217–222, Oct. 2016, [Online]. Available: https://izlik.org/JA58GW56BY
ISNAD
Sarıkaya, MEHMET ZEKI. “GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 4/2 (October 1, 2016): 217-222. https://izlik.org/JA58GW56BY.
JAMA
1.Sarıkaya MZ. GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS. Konuralp J. Math. 2016;4:217–222.
MLA
Sarıkaya, MEHMET ZEKI. “GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics, vol. 4, no. 2, Oct. 2016, pp. 217-22, https://izlik.org/JA58GW56BY.
Vancouver
1.MEHMET ZEKI Sarıkaya. GRONWALL TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS. Konuralp J. Math. [Internet]. 2016 Oct. 1;4(2):217-22. Available from: https://izlik.org/JA58GW56BY
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