EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR

Hasib Khan; Cemil Tunc; Wen Chen; Aziz Khan

doi:10.11948/2018.1211

2018 Volume 8 Issue 4

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Hasib Khan, Cemil Tunc, Wen Chen, Aziz Khan. EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1211-1226. doi: 10.11948/2018.1211

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Hasib Khan, Cemil Tunc, Wen Chen, Aziz Khan. EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1211-1226. doi: 10.11948/2018.1211

EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR

1 College of Engineering, Mechanics and Materials, Hohai University, 211100, Nanjing, China;
2 Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, P. O. Box 18000, Khybar Pakhtunkhwa, Pakistan;
3 Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080 Van, Turkey;
4 Department of Mathematics, University of Peshawar, 25000 Peshawar, Pakistan

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Abstract

Abstract

In this paper, we prove necessary conditions for existence and uniqueness of solution (EUS) as well Hyers-Ulam stability for a class of hybrid fractional differential equations (HFDEs) with p-Laplacian operator. For these aims, we take help from topological degree theory and Leray Schauder-type fixed point theorem. An example is provided to illustrate the results.
- Hybrid fractional differential equations /
- Hyers-Ulam stability /
- Caputo's fractional derivative /
- existence and uniqueness /
- topological degree theory
MSC: 26A33;34B82;45N05

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References

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