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

Ariel University

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

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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.5817/AM2023-1-117

Cite this

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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",

note = "Publisher Copyright: {\textcopyright} Masaryk University, 2023.",

year = "2023",

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

language = "الإنجليزيّة",

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journal = "Archivum Mathematicum",

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AU - Domoshnitsky, Alexander

AU - Padhi, Seshadev

AU - Raichik, Vladimir

N1 - Publisher Copyright: © Masaryk University, 2023.

PY - 2023

Y1 - 2023

N2 - We propose explicit tests of unique solvability of two-point and focal boundary value problems for fractional functional differential equations with Riemann-Liouville derivative.

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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U2 - 10.5817/AM2023-1-117

DO - 10.5817/AM2023-1-117

M3 - مقالة

SN - 0044-8753

SP - 117

EP - 123

JO - Archivum Mathematicum

JF - Archivum Mathematicum

IS - 1

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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