CLASSICAL SOLUTIONS FOR A BVP FOR A CLASS IMPULSIVE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

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

Published:2022-11-23 Issue:10 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

GEORGIEV SVETLIN G.¹,ZENNIR KHALED²³,KHALIFA WIEM ABEDELMONEM SALAH BEN⁴,YASSIN AMAL HASSAN MOHAMMED⁴,GHILEN AYMEN⁴,ZUBAIR SULIMA AHMED MOHAMMED²,OSMAN NAJLA ELZEIN ABUKASWI⁴

Affiliation:

1. Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria

2. Department of Mathematics, College of Sciences and Arts, Qassim, University, Ar-Rass, Saudi Arabia

3. Laboratoire de Mathématiques Appliquées, et de Modélisation, Université 8 Mai 1945 Guelma, Guelma 24000, Algeria

4. Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22402642

Reference10 articles.

1. On the solutions of certain fractional kinetic matrix equations involving Hadamard fractional integrals

2. Second-order hyperbolic Fuchsian systems and applications

3. Existence of Positive Solutions and Its Asymptotic Behavior of (p(x), q(x))-Laplacian Parabolic System

4. The sharp decay rate of thermoelastic transmission system with infinite memories

5. Fermi–Pasta–Ulam, solitons and the fabric of nonlinear and computational science: History, synergetics, and visiometrics

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