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

• Muthaiah, Subramanian ^[1] ; Gopal, Thangaraj Nandha ^[2]
  1. [1] KPR Institute of Engineering and Technology.
  2. [2] Sri Ramakrishna Mission Vidyalaya College of Arts and Science.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 6, 2020, págs. 1555-1575
• Idioma: inglés
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• Resumen

  • 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.