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On the Ulam–Hyers–Rassias stability for nonlinear fractional differential equations using the -Hilfer operator
JVC Sousa, EC de Oliveira - Journal of Fixed Point Theory and …, 2018 - Springer
We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving
the ψ ψ-Hilfer fractional derivative. In addition, we discuss the Ulam–Hyers and Ulam–Hyers …
the ψ ψ-Hilfer fractional derivative. In addition, we discuss the Ulam–Hyers and Ulam–Hyers …
The Nehari manifold for a ψ-Hilfer fractional p-Laplacian
JVC Sousa, J Zuo, D O'Regan - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we discuss the existence and non-existence of weak solutions to the non-
linear problem with a fractional p-Laplacian introduced by the ψ-Hilfer fractional operator, by …
linear problem with a fractional p-Laplacian introduced by the ψ-Hilfer fractional operator, by …
Existence of Solutions for a Singular Double Phase Problem Involving a -Hilfer Fractional Operator Via Nehari Manifold
JVC Sousa, KB Lima, LS Tavares - Qualitative Theory of Dynamical …, 2023 - Springer
In this present paper, we investigate a new class of singular double phase p-Laplacian
equation problems with a ψ-Hilfer fractional operator combined from a parametric term …
equation problems with a ψ-Hilfer fractional operator combined from a parametric term …
-Hilfer pseudo-fractional operator: new results about fractional calculus
In this paper, we introduce the ψ ψ-Hilfer pseudo-fractional operator, motivated by the ψ ψ-
Hilfer fractional derivative and the theory of pseudo-analysis. We investigate a wide class of …
Hilfer fractional derivative and the theory of pseudo-analysis. We investigate a wide class of …
The -Hilfer fractional calculus of variable order and its applications
In this paper, we present the ψ ψ-Hilfer fractional derivatives of variable order (FDVO) of 3
types I, II and III, versions A and B, as well as their combinations. In addition, we propose …
types I, II and III, versions A and B, as well as their combinations. In addition, we propose …
On Positive Solutions for a Fractional Thermostat Model with a Convex–Concave Source Term via -Caputo Fractional Derivative
We consider a fractional thermostat model involving ψ ψ-Caputo fractional derivatives. Two
cases are discussed: the case when the source term is concave and the case when the …
cases are discussed: the case when the source term is concave and the case when the …
Solutions of the mean curvature equation with the Nehari manifold
In this manuscript, it is introduced a new mean curvature operator which involves a φ-Hilfer
fractional operator (φ-HFO) and variable exponents and appropriated fractional spaces to …
fractional operator (φ-HFO) and variable exponents and appropriated fractional spaces to …
Fractional order pseudoparabolic partial differential equation: Ulam–Hyers stability
JVC Sousa, EC Oliveira - Bulletin of the Brazilian Mathematical Society …, 2019 - Springer
Fractional Order Pseudoparabolic Partial Differential Equation: Ulam–Hyers Stability | Bulletin
of the Brazilian Mathematical Society, New Series Skip to main content Springer Nature Link …
of the Brazilian Mathematical Society, New Series Skip to main content Springer Nature Link …
Fractional integration by parts and Sobolev‐type inequalities for ψ ψ‐fractional operators
CE Torres Ledesma, JVC Sousa - Mathematical Methods in the …, 2022 - Wiley Online Library
In the present paper, we investigate the Hardy–Littlewood type and the integration by parts
result for ψ ψ–Riemann–Liouville fractional integrals. Also, we attack the integration by parts …
result for ψ ψ–Riemann–Liouville fractional integrals. Also, we attack the integration by parts …
On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation
JVC Sousa, DS Oliveira… - … Methods in the …, 2019 - Wiley Online Library
In this paper, by means of Banach fixed point theorem, we investigate the existence and
Ulam–Hyers–Rassias stability of the noninstantaneous impulsive integrodifferential …
Ulam–Hyers–Rassias stability of the noninstantaneous impulsive integrodifferential …