Research Article

NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER

Volume: 4 Number: 1 April 1, 2016
  • Mohammed M. Matar *
EN

NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER

Abstract

In this paper, we investigate the existence and uniqueness of some nonlocal boundary condition for fractional integro-di erential equations with any order. The results are obtained by using xed point theorems. An example is introduced to illustrate the theorem.

Keywords

References

  1. [1] Agrawal, R. P., Benchohra, M., Hamani, S., Boundary value problems for fractional di eren- tial equations, Georgian Mathematical Journal, 16(3)(2009), 401-411.
  2. [2] Agarwal, R. P., Ahmad B., Existence theory for anti-periodic boundary value problems of fractional di erential equations and inclusions, Computers & Mathematics with Applica- tions, 62(2011), 1200-1214.
  3. [3] Balachandran, K., Park, J. Y., Nonlocal Cauchy problem for abstract fractional semilinear evolution equations, Nonlinear Analysis, 71(2009), 4471-4475.
  4. [4] Benchohra, M., Hamani, S., and Ntouyas S. K., Boundary value problems for di erential equations with fractional order and nonlocal conditions, Nonlinear Analysis, 71(2009), 2391- 2396.
  5. [5] N'guerekata, G. M., A Cauchy problem for some fractional abstract di erential equation with nonlocal condition, Nonlinear Analysis, 70(2009), 1873-1876.
  6. [6] Delbosco, D., Rodino, L., Existence and uniqueness for a fractional di erential equation, Journal of Mathematical Analysis and Applications, 204(1996), 609-625.
  7. [7] Matar M. M., Trujillo, J. J.,Existence of local solutions for di erential equations with arbi- trary fractional order, Arabian Journal of Mathematics, DOI 10.1007/s40065-015-0139-4
  8. [8] Jaradat, O. K., Al-Omari, A., and Momani, S., Existence of the mild solution for fractional semilinear initial value problem, Nonlinear Analysis, 69(2008), 3153-3159.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Mohammed M. Matar * This is me
Palestine

Publication Date

April 1, 2016

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

APA
Matar, M. M. (2016). NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER. Konuralp Journal of Mathematics, 4(1), 114-121. https://izlik.org/JA24DZ53NK
AMA
1.Matar MM. NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER. Konuralp J. Math. 2016;4(1):114-121. https://izlik.org/JA24DZ53NK
Chicago
Matar, Mohammed M. 2016. “NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER”. Konuralp Journal of Mathematics 4 (1): 114-21. https://izlik.org/JA24DZ53NK.
EndNote
Matar MM (April 1, 2016) NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER. Konuralp Journal of Mathematics 4 1 114–121.
IEEE
[1]M. M. Matar, “NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER”, Konuralp J. Math., vol. 4, no. 1, pp. 114–121, Apr. 2016, [Online]. Available: https://izlik.org/JA24DZ53NK
ISNAD
Matar, Mohammed M. “NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 114-121. https://izlik.org/JA24DZ53NK.
JAMA
1.Matar MM. NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER. Konuralp J. Math. 2016;4:114–121.
MLA
Matar, Mohammed M. “NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 114-21, https://izlik.org/JA24DZ53NK.
Vancouver
1.Mohammed M. Matar. NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):114-21. Available from: https://izlik.org/JA24DZ53NK
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