Research Article

EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Volume: 1 Number: 2 July 31, 2018
EN

EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Abstract

We study in this paper, the existence results for initial value problems for hybrid fractional integro-dierential equations. By using fixed point theorems for the sum of three operators are used for proving the main results.An example is also given to demonstrate the applications of our main results.

Keywords

References

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  2. Podlubny, I., Fractional Differential Equations, Academic Press, San Diego (1999).
  3. Sabatier, J. Agrawal, O. P. Machado, JAT (eds.): Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering. Springer, Dordrecht (2007).
  4. Tariboon, J., Ntouyas, S. K., Sudsutad, W Fractional integral problems for fractional differential equations via Caputo derivative. Adv. Deffer. Equ. 181 (2014).
  5. Ahmad, B., Ntouyas, S. K., A four-point nonlocal, integral boundary value problem for fractional differential equations of arbitrary order. Electron. J. Qual. Theory Differ. Equ. 2011, 22 (2011).
  6. Ahmad, B., Sivasundaram, S., Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions. Commun. Appl. Anal. 13, 121-228 (2009).
  7. Ahmad, B., Sivasundaram, S., On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order. Appl. Math. Comput. 217, 480-487 (2010).
  8. Ahmad, B., Ntouyas, S. K., Alsaedi, A., Existence theorems for nonlocal multi-valued Hadamard fractional integro-differential boundary value problems. J. Inequal. Appl. 2014, 454 (2014).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Khalid Hilal This is me
Morocco

Mohamed Hannabou This is me
Morocco

Publication Date

July 31, 2018

Submission Date

May 15, 2018

Acceptance Date

August 5, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

APA
Melliani, S., Hilal, K., & Hannabou, M. (2018). EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. Journal of Universal Mathematics, 1(2), 166-179. https://izlik.org/JA56BT49PS
AMA
1.Melliani S, Hilal K, Hannabou M. EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. JUM. 2018;1(2):166-179. https://izlik.org/JA56BT49PS
Chicago
Melliani, Said, Khalid Hilal, and Mohamed Hannabou. 2018. “EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS”. Journal of Universal Mathematics 1 (2): 166-79. https://izlik.org/JA56BT49PS.
EndNote
Melliani S, Hilal K, Hannabou M (July 1, 2018) EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. Journal of Universal Mathematics 1 2 166–179.
IEEE
[1]S. Melliani, K. Hilal, and M. Hannabou, “EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS”, JUM, vol. 1, no. 2, pp. 166–179, July 2018, [Online]. Available: https://izlik.org/JA56BT49PS
ISNAD
Melliani, Said - Hilal, Khalid - Hannabou, Mohamed. “EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS”. Journal of Universal Mathematics 1/2 (July 1, 2018): 166-179. https://izlik.org/JA56BT49PS.
JAMA
1.Melliani S, Hilal K, Hannabou M. EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. JUM. 2018;1:166–179.
MLA
Melliani, Said, et al. “EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS”. Journal of Universal Mathematics, vol. 1, no. 2, July 2018, pp. 166-79, https://izlik.org/JA56BT49PS.
Vancouver
1.Said Melliani, Khalid Hilal, Mohamed Hannabou. EXISTENCE RESULTS IN THE THEORY OF HYBRID FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS. JUM [Internet]. 2018 Jul. 1;1(2):166-79. Available from: https://izlik.org/JA56BT49PS