ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL

Volume: 8 Number: 1 June 1, 2018
EN

ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL

Abstract

The main target addressed in this article is presenting Pachpatte type inequalities for Katugampola conformable fractional integral. In accordance with this purpose we try to use more general type of function in order to make a generalization. Thus our results cover the previous published studies for Pachpatte type inequalities.

Keywords

References

  1. T. Abdeljawad, On conformable fractional calculus, Journal of Computational and Applied Mathe- matics, 279, 57–66, 2015.
  2. D. R. Anderson and D. J. Ulness, Results for conformable differential equations, preprint, 2016.
  3. A. Atangana, D. Baleanu, and A. Alsaedi, New properties of conformable derivative, Open Math. 13, –898, 2015.
  4. R. Bellman, The stability of solutions of linear differential equations, Duke Mathematical Journal, 10, 647, 1943.
  5. T.H. Gronwall, Note on the derivatives with respect to a parameter of the solutions of a system of differential equations, Annals of Mathematics, 20, 192-296, 1919.
  6. M. Abu Hammad, R. Khalil, Conformable fractional heat differential equations, International Journal of Pure and Applied Mathematics, 94(2), 215–221, 2014.
  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.
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Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Z. Sarıkaya This is me

Publication Date

June 1, 2018

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2018 Volume: 8 Number: 1

APA
Usta, F., & Sarıkaya, Z. (2018). ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL. TWMS Journal of Applied and Engineering Mathematics, 8(1), 106-113. https://izlik.org/JA45RB48NH
AMA
1.Usta F, Sarıkaya Z. ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL. JAEM. 2018;8(1):106-113. https://izlik.org/JA45RB48NH
Chicago
Usta, F., and Z. Sarıkaya. 2018. “ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL”. TWMS Journal of Applied and Engineering Mathematics 8 (1): 106-13. https://izlik.org/JA45RB48NH.
EndNote
Usta F, Sarıkaya Z (June 1, 2018) ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL. TWMS Journal of Applied and Engineering Mathematics 8 1 106–113.
IEEE
[1]F. Usta and Z. Sarıkaya, “ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL”, JAEM, vol. 8, no. 1, pp. 106–113, June 2018, [Online]. Available: https://izlik.org/JA45RB48NH
ISNAD
Usta, F. - Sarıkaya, Z. “ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL”. TWMS Journal of Applied and Engineering Mathematics 8/1 (June 1, 2018): 106-113. https://izlik.org/JA45RB48NH.
JAMA
1.Usta F, Sarıkaya Z. ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL. JAEM. 2018;8:106–113.
MLA
Usta, F., and Z. Sarıkaya. “ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL”. TWMS Journal of Applied and Engineering Mathematics, vol. 8, no. 1, June 2018, pp. 106-13, https://izlik.org/JA45RB48NH.
Vancouver
1.F. Usta, Z. Sarıkaya. ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL. JAEM [Internet]. 2018 Jun. 1;8(1):106-13. Available from: https://izlik.org/JA45RB48NH