Affiliation:
1. Sri Vasavi College, Erode, Tamilnadu
Abstract
In this paper, we examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE’s) involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder’s fixed point theorem. Finally, examples are introduced of our results.
Publisher
University Library in Kragujevac
Reference26 articles.
1. Y. Adjabi, F. Jarad and T. Abdeljawad, On generalized fractional operators and a Gronwall type Inequality with applications, Filomat 31(17) (2017), 5457–5473.
2. Y. Adjabi, F. Jarad, D. Baleanu and T. Abdeljawad, On Cauchy problems with Caputo Hadamard fractional derivatives, J. Comput. Anal. Appl. 21(1) (2016), 661–681.
3. R. Almeida, D. Tavares and D. F. M. Torres, The Variable-Order Fractional Calculus of Variations, Springer Briefs in Applied Sciences and Technology, Springer, Cham, Switzerland, 2018.
4. A. Anguraj, P. Karthikeyan and J. J. Trujillo, Existence of solutions to fractional mixed integro-differential equations with nonlocal initial condition, Adv. Difference Equ. 2011 (2011), 1–12.
5. A. Babakhani and T. Abdeljawad, A Caputo fractional order boundary value problem with integral boundary conditions, J. Comput. Anal. Appl. 15(4) (2013), 753–763.
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献