Research Article

Existence of solution to a nonlocal conformable fractional thermistor problem

Volume: 68 Number: 1 February 1, 2019
EN

Existence of solution to a nonlocal conformable fractional thermistor problem

Abstract

We study a nonlocal thermistor problem for fractional derivatives in the conformable sense. Classical Schauder's fixed point theorem is used to derive the existence of a tube solution.

Keywords

References

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  3. Agarwal, R. P., Baleanu, Du., Nieto, J. J., Torres, D. F. M. and Zhou, Y., A survey on fuzzy fractional differential and optimal control nonlocal evolution equations, J. Comput. Appl. Math. 339 (2018), 3--29.
  4. Ortigueira, M. D., Fractional calculus for scientists and engineers, Lecture Notes in Electrical Engineering, 84, Springer, Dordrecht, 2011.
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  6. Baleanu, D., Diethelm, K., Scalas, E. and Trujillo, J. J., Fractional calculus, Series on Complexity, Nonlinearity and Chaos, 5, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2017.
  7. Miller, K. S. and Ross, B., An introduction to the fractional calculus and fractional differential equations, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1993.
  8. Samko, S. G., Kilbas, A. A. and Marichev, O. I., Fractional integrals and derivatives, translated from the 1987 Russian original, Gordon and Breach Science Publishers, Yverdon, 1993.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

June 20, 2018

Acceptance Date

August 26, 2018

Published in Issue

Year 1970 Volume: 68 Number: 1

APA
Ammi, M. R. S., & Torres, D. F. M. (2019). Existence of solution to a nonlocal conformable fractional thermistor problem. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 1061-1072. https://doi.org/10.31801/cfsuasmas.501582
AMA
1.Ammi MRS, Torres DFM. Existence of solution to a nonlocal conformable fractional thermistor problem. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):1061-1072. doi:10.31801/cfsuasmas.501582
Chicago
Ammi, Moulay Rchid Sidi, and Delfim F. M. Torres. 2019. “Existence of Solution to a Nonlocal Conformable Fractional Thermistor Problem”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 1061-72. https://doi.org/10.31801/cfsuasmas.501582.
EndNote
Ammi MRS, Torres DFM (February 1, 2019) Existence of solution to a nonlocal conformable fractional thermistor problem. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 1061–1072.
IEEE
[1]M. R. S. Ammi and D. F. M. Torres, “Existence of solution to a nonlocal conformable fractional thermistor problem”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 1061–1072, Feb. 2019, doi: 10.31801/cfsuasmas.501582.
ISNAD
Ammi, Moulay Rchid Sidi - Torres, Delfim F. M. “Existence of Solution to a Nonlocal Conformable Fractional Thermistor Problem”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 1061-1072. https://doi.org/10.31801/cfsuasmas.501582.
JAMA
1.Ammi MRS, Torres DFM. Existence of solution to a nonlocal conformable fractional thermistor problem. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1061–1072.
MLA
Ammi, Moulay Rchid Sidi, and Delfim F. M. Torres. “Existence of Solution to a Nonlocal Conformable Fractional Thermistor Problem”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 1061-72, doi:10.31801/cfsuasmas.501582.
Vancouver
1.Moulay Rchid Sidi Ammi, Delfim F. M. Torres. Existence of solution to a nonlocal conformable fractional thermistor problem. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):1061-72. doi:10.31801/cfsuasmas.501582

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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