CLASSICAL SOLUTIONS FOR A BVP FOR A CLASS IMPULSIVE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Svetlin G. Georgiev; Khaled Zennir; Wiem Abedelmonem Salah Ben Khalifa; Amal Hassan Mohammed Yassin; Aymen Ghilen; Sulima Ahmed Mohammed Zubair; Najla Elzein Abukaswi Osman

doi:10.1142/S0218348X22402642

CLASSICAL SOLUTIONS FOR A BVP FOR A CLASS IMPULSIVE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Svetlin G. Georgiev
, Khaled Zennir^*
, Wiem Abedelmonem Salah Ben Khalifa
, Amal Hassan Mohammed Yassin
, Aymen Ghilen
, Sulima Ahmed Mohammed Zubair
, Najla Elzein Abukaswi Osman

^*Corresponding author for this work

Information Science Department

Sofia University St. Kliment Ohridski
Qassim University
University of Guelma
Imam Abdulrahman Bin Faisal University

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

5 Scopus citations

Abstract

In this paper, we investigate a BVP for a class impulsive fractional partial differential equations. We propose a new topological approach to prove the existence of at least one classical solution and at least two nonnegative classical solutions. The arguments are based upon recent theoretical results.

Original language	English
Article number	2240264
Journal	Fractals
Volume	30
Issue number	10
DOIs	https://doi.org/10.1142/S0218348X22402642
State	Published - 1 Dec 2022

Keywords

Existence of Solutions
Fractional Partial Differential Equation
Impulsive Partial Differential Equation

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title = "CLASSICAL SOLUTIONS FOR A BVP FOR A CLASS IMPULSIVE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS",

abstract = "In this paper, we investigate a BVP for a class impulsive fractional partial differential equations. We propose a new topological approach to prove the existence of at least one classical solution and at least two nonnegative classical solutions. The arguments are based upon recent theoretical results.",

keywords = "Existence of Solutions, Fractional Partial Differential Equation, Impulsive Partial Differential Equation",

author = "Georgiev, \{Svetlin G.\} and Khaled Zennir and Khalifa, \{Wiem Abedelmonem Salah Ben\} and Yassin, \{Amal Hassan Mohammed\} and Aymen Ghilen and Zubair, \{Sulima Ahmed Mohammed\} and Osman, \{Najla Elzein Abukaswi\}",

note = "Publisher Copyright: {\textcopyright} 2022 The Author(s).",

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doi = "10.1142/S0218348X22402642",

language = "English",

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T1 - CLASSICAL SOLUTIONS FOR A BVP FOR A CLASS IMPULSIVE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

AU - Georgiev, Svetlin G.

AU - Zennir, Khaled

AU - Khalifa, Wiem Abedelmonem Salah Ben

AU - Yassin, Amal Hassan Mohammed

AU - Ghilen, Aymen

AU - Zubair, Sulima Ahmed Mohammed

AU - Osman, Najla Elzein Abukaswi

PY - 2022/12/1

Y1 - 2022/12/1

N2 - In this paper, we investigate a BVP for a class impulsive fractional partial differential equations. We propose a new topological approach to prove the existence of at least one classical solution and at least two nonnegative classical solutions. The arguments are based upon recent theoretical results.

AB - In this paper, we investigate a BVP for a class impulsive fractional partial differential equations. We propose a new topological approach to prove the existence of at least one classical solution and at least two nonnegative classical solutions. The arguments are based upon recent theoretical results.

KW - Existence of Solutions

KW - Fractional Partial Differential Equation

KW - Impulsive Partial Differential Equation

UR - https://www.scopus.com/pages/publications/85143641956

U2 - 10.1142/S0218348X22402642

DO - 10.1142/S0218348X22402642

M3 - Article

AN - SCOPUS:85143641956

SN - 0218-348X

VL - 30

JO - Fractals

JF - Fractals

IS - 10

M1 - 2240264

ER -

CLASSICAL SOLUTIONS FOR A BVP FOR A CLASS IMPULSIVE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Abstract

Keywords

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