Article
New existence results on neutral fractional differential equations in the concept of Atangana-Baleanu derivative with impulsive conditions
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Abstract
In this article, We study an existence and uniqueness of solutions for an impulsive fractional neutral differential equations via Atangana-Baleanu fractional derivative with dependence on the lipschitz first derivative conditions in Banach space. This results are based on fixed point theorems. An example is given to illustrate the main results.
Keywords
Fractional Calculus, Neutral differential equations, impulsive, AB-derivative, Lipschitz first derivatives, Fixed point techniques.
Citation
Raja, U. K. & Pandiyammal, V. (2020). New existence results on neutral fractional differential equations in the concept of atangana-baleanu derivative with impulsive conditions. Turkish Journal of Computer and Mathematics Education, 11(3), 850–861.
U. K. Raja and V. Pandiyammal, “New existence results on neutral fractional differential equations in the concept of atangana-baleanu derivative with impulsive conditions,” Turkish Journal of Computer and Mathematics Education, vol. 11, no. 3, pp. 850–861, 2020.
Raja UK, Pandiyammal V. New existence results on neutral fractional differential equations in the concept of atangana-baleanu derivative with impulsive conditions. Turkish Journal of Computer and Mathematics Education. 2020;11(3):850–861.
Raja, U. K. and Pandiyammal, V. (2020), ‘New existence results on neutral fractional differential equations in the concept of atangana-baleanu derivative with impulsive conditions’, Turkish Journal of Computer and Mathematics Education, 11(3), pp. 850–861.
Raja, U. Karthik, and V. Pandiyammal. “New Existence Results on Neutral Fractional Differential Equations in the Concept of Atangana-baleanu Derivative with Impulsive Conditions.” Turkish Journal of Computer and Mathematics Education, vol. 11, no. 3, 2020, pp. 850–861.
Raja, U. Karthik, and V. Pandiyammal. “New Existence Results on Neutral Fractional Differential Equations in the Concept of Atangana-baleanu Derivative with Impulsive Conditions.” Turkish Journal of Computer and Mathematics Education 11, no. 3 (2020): 850–861.
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Published by: Engineering Journals
