Nonexistence Results of Caputo-Type Fractional Problem
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Date
2021
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Publisher
Springer
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GOLD
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Abstract
In this paper, we deal with Caputo-type fractional differential inequality where there is a low-order fractional derivative with the term polynomial source. We investigate the nonexistence of nontrivial global solutions in a suitable space via the test function technique and some properties of fractional integrals. Finally, we demonstrate three examples to illustrate our results. The presented results are more general than those in the literature, which can be obtained as particular cases.
Description
Kassim, Mohammed D./0000-0003-1567-9039; Abdo, Mohammed S./0000-0001-9085-324X
Keywords
Nonexistence, Caputo Fractional Derivative, Global Solution, Test Function Method, 26A33, 34A07, 93A30, 35R11, Economics, Global solution, Evolutionary biology, Nonexistence, Space (punctuation), Theory and Applications of Fractional Differential Equations, Polynomial, Mathematical analysis, Quantum mechanics, Term (time), Engineering, Differential equation, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Caputo fractional derivative, Ecology, Applied Mathematics, Physics, Fractional calculus, Partial differential equation, Applied mathematics, Computer science, Fracture Mechanics Modeling and Simulation, Fractional Derivatives, Operating system, Test function method, Mechanics of Materials, Function (biology), Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics, Ordinary differential equation, Finance, Fractional ordinary differential equations, test function method, Fractional derivatives and integrals, global solution, nonexistence, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Kassim, Mohammed D...et al. (2021). "Nonexistence results of Caputo-type fractional problem", ADVANCES IN DIFFERENCE EQUATIONS, Vol. 2021, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
1
Source
Advances in Difference Equations
Volume
2021
Issue
1
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Scopus : 4
SCOPUS™ Citations
4
checked on Feb 23, 2026
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4
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