Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative




Multi-point Conditions, Existence, Fixed point, Caputo-Hadamard fractional derivative, Fractional differential equation, Hadamard fractional integral, Multi-point conditions


We study the boundary value problems (BVPs) of the Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions. Many new results of existence and uniqueness are obtained with the use of fixed point theorems for single-valued maps. With the help of examples, the results are well illustrated.

Author Biographies

Subramanian Muthaiah, KPR Institute of Engineering and Technology.

Dept. of Mathematics.

Thangaraj Nandha Gopal, Sri Ramakrishna Mission Vidyalaya College of Arts and Science.

Dept. of Mathematics.


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How to Cite

S. Muthaiah and T. N. Gopal, “Analysis of boundary value problem with multi-point conditions involving Caputo-Hadamard fractional derivative”, Proyecciones (Antofagasta, On line), vol. 39, no. 6, pp. 1555-1575, Nov. 2020.