Discontinuity, Nonlinearity, and Complexity
On CaputoHadamard Type Fractional Differential Equations with Nonlocal Discrete Boundary Conditions
Discontinuity, Nonlinearity, and Complexity 10(2) (2021) 185194  DOI:10.5890/DNC.2021.06.002
Murugesan Manigandan$^{1}$, Muthaiah Subramanian$^{2}$, Palanisamy Duraisamy$^{3}$, Thangaraj Nandha Gopal$^{1}$
$^{1}$ Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 
641 020, Tamilnadu, India
$^{2}$ Department of Mathematics, KPR Institute of Engineering and Technology,
Coimbatore, India
$^3$ Department of Mathematics, Gobi Arts and Science College, Gobichettipalayam, Tamilnadu, India
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Abstract
This paper studies a new class of boundary value problems of CaputoHadamard fractional differential equations of order $\varrho\in (2, 3]$ supplemented with nonlocal multipoint (discrete) boundary conditions. Existence and uniqueness results for the given problem have obtained by applying standard fixedpoint theorems. Finally, two examples are given to illustrate the validity of our main results.
Acknowledgments
The corresponding author was supported by the minor research project funded by University Grants Commissions (F.No.44/201516 (MRP/UGCSERO)).
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