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 and Najla Elzein Abukaswi Osman
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Svetlin G. Georgiev: Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria
Khaled Zennir: ��Department of Mathematics, College of Sciences and Arts, Qassim, University, Ar-Rass, Saudi Arabia‡Laboratoire de Mathématiques Appliquées, et de Modélisation, Université 8 Mai 1945 Guelma, Guelma 24000, Algeria
Wiem Abedelmonem Salah Ben Khalifa: �Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia
Amal Hassan Mohammed Yassin: �Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia
Aymen Ghilen: �Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia
Sulima Ahmed Mohammed Zubair: ��Department of Mathematics, College of Sciences and Arts, Qassim, University, Ar-Rass, Saudi Arabia
Najla Elzein Abukaswi Osman: �Applied College, Imam Abdulrahman Bin Faisal, University, Dammam, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-12

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; Impulsive Partial Differential Equation; Fractional Partial Differential Equation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0218348X22402642

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