Nonexistence results for a sequential fractional differential problem

Mohammed D. Kassim; Mubarak Alqahtani; Nasser Eddine Tatar; Aymen Laadhari

doi:10.1002/mma.9451

Nonexistence results for a sequential fractional differential problem

Mohammed D. Kassim, Mubarak Alqahtani, Nasser Eddine Tatar, Aymen Laadhari

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3 Scopus citations

Abstract

In this paper, we study a class of sequential fractional differential inequalities involving Caputo fractional derivatives with different orders. The nonexistence of nontrivial global solutions is investigated in a suitable space via the test function technique and some properties of fractional integrals. Our results are supported by numerical examples.

Original language	British English
Pages (from-to)	16305-16317
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	46
Issue number	15
DOIs	https://doi.org/10.1002/mma.9451
State	Published - Oct 2023

Keywords

Caputo fractional derivative
nonexistence of solutions
sequential fractional differential equation
test function method

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10.1002/mma.9451

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title = "Nonexistence results for a sequential fractional differential problem",

abstract = "In this paper, we study a class of sequential fractional differential inequalities involving Caputo fractional derivatives with different orders. The nonexistence of nontrivial global solutions is investigated in a suitable space via the test function technique and some properties of fractional integrals. Our results are supported by numerical examples.",

keywords = "Caputo fractional derivative, nonexistence of solutions, sequential fractional differential equation, test function method",

author = "Kassim, {Mohammed D.} and Mubarak Alqahtani and Tatar, {Nasser Eddine} and Aymen Laadhari",

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AU - Kassim, Mohammed D.

AU - Alqahtani, Mubarak

AU - Tatar, Nasser Eddine

AU - Laadhari, Aymen

PY - 2023/10

Y1 - 2023/10

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AB - In this paper, we study a class of sequential fractional differential inequalities involving Caputo fractional derivatives with different orders. The nonexistence of nontrivial global solutions is investigated in a suitable space via the test function technique and some properties of fractional integrals. Our results are supported by numerical examples.

KW - Caputo fractional derivative

KW - nonexistence of solutions

KW - sequential fractional differential equation

KW - test function method

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DO - 10.1002/mma.9451

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JF - Mathematical Methods in the Applied Sciences

IS - 15

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Nonexistence results for a sequential fractional differential problem

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Keywords

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