Fractional conformable derivatives of Liouville–Caputo type with low-fractionality
Sign Up to like & getrecommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2018.03.018
Abstract: Abstract This paper presents a novel fractional conformable derivative of Liouville–Caputo type of fractional order α = n − ϵ that contains a small ϵ and positive integer n values between [1;2]. The method is… read more here.
Keywords: liouville caputo; caputo type; conformable derivative; fractional conformable ... See more keywords
Ulam–Hyers Stability of Caputo-Type Fractional Stochastic Differential Equations with Time Delays
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Problems in Engineering"
DOI: 10.1155/2021/5599206
Abstract: In this paper, we study a class of Caputo-type fractional stochastic differential equations (FSDEs) with time delays. Under some new criteria, we get the existence and uniqueness of solutions to FSDEs by Carathe � odory… read more here.
Keywords: caputo type; stochastic differential; fractional stochastic; differential equations ... See more keywords
On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2183-4
Abstract: In this paper, we present sufficient criteria ensuring the existence and uniqueness of solutions for nonlinear impulsive multi-order Caputo-type generalized fractional differential equations supplemented with nonlocal integro-initial value conditions involving generalized fractional integrals. Extremal solutions… read more here.
Keywords: multi order; caputo type; generalized fractional; type generalized ... See more keywords
Ulam-type stability for Caputo-type fractional delay differential equations
Sign Up to like & getrecommendations! Published in 2025 at "Demonstratio Mathematica"
DOI: 10.1515/dema-2025-0112
Abstract: Abstract This study focuses on differential equations incorporating generalized fractional derivatives of the Caputo type. The concept of Ulam-type stability (US) is analyzed in the context of both initial value problems and boundary value problems… read more here.
Keywords: caputo type; differential equations; ulam type; type ... See more keywords
On the Equivalence between Differential and Integral Forms of Caputo-Type Fractional Problems on Hölder Spaces
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DOI: 10.3390/math12172631
Abstract: As claimed in many papers, the equivalence between the Caputo-type fractional differential problem and the corresponding integral forms may fail outside the spaces of absolutely continuous functions, even in Hölder spaces. To avoid such an… read more here.
Keywords: caputo type; fractional differential; type fractional; equivalence differential ... See more keywords
Post-Pandemic Sector-Based Investment Model Using Generalized Liouville-Caputo Type
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DOI: 10.3390/sym15040789
Abstract: In this article, Euler’s technique was employed to solve the novel post-pandemic sector-based investment mathematical model. The solution was established within the framework of the new generalized Caputo-type fractional derivative for the system under consideration… read more here.
Keywords: investment model; investment; caputo type; model ... See more keywords