UNIQUE SOLVABILITY OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION ON THE BASIS OF VALLÉE-POUSSIN THEOREM

Satyam Narayan Srivastava; Alexander Domoshnitsky; Seshadev Padhi; Vladimir Raichik

doi:10.5817/AM2023-1-117

UNIQUE SOLVABILITY OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION ON THE BASIS OF VALLÉE-POUSSIN THEOREM

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	117-123
Number of pages	7
Journal	Archivum Mathematicum
Issue number	1
DOIs	https://doi.org/10.5817/AM2023-1-117
State	Published - 2023

Keywords

Riemann-Liouville derivative
differential inequality
unique solvability

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10.5817/AM2023-1-117

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title = "UNIQUE SOLVABILITY OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION ON THE BASIS OF VALL{\'E}E-POUSSIN THEOREM",

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.",

keywords = "Riemann-Liouville derivative, differential inequality, unique solvability",

author = "Srivastava, \{Satyam Narayan\} and Alexander Domoshnitsky and Seshadev Padhi and Vladimir Raichik",

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doi = "10.5817/AM2023-1-117",

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AU - Padhi, Seshadev

AU - Raichik, Vladimir

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

KW - Riemann-Liouville derivative

KW - differential inequality

KW - unique solvability

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UNIQUE SOLVABILITY OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION ON THE BASIS OF VALLÉE-POUSSIN THEOREM

Abstract

Keywords

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