Unique solvability of fractional functional differential equation on the basis of Vallée-Poussin theorem

Satyam Narayan Srivastava, Alexander Domoshnitsky, Seshadev Padhi, and Vladimir Raichik

Address:
Department of Mathematics, Ariel University, Ariel 40700, Israel
Department of Mathematics, Birla Institute of Technology Mesra, Ranchi 835215, India

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Abstract: We propose explicit tests of unique solvability of two-point and focal boundary value problems for fractional functional differential equations with Riemann-Liouville derivative.

AMSclassification: primary 26A33; secondary 34A08, 34K37.

Keywords: Riemann-Liouville derivative, unique solvability, differential inequality.

DOI: 10.5817/AM2023-1-117