On the ψ-hilfer fractional derivative
WebIn this paper we introduce a new fractional derivative with respect to another function the so-called ψ-Hilfer fractional derivative. We discuss some properties and important … WebWe investigate a nonlinear, nonlocal, and fully coupled boundary value problem containing mixed (k,ψ^)-Hilfer fractional derivative and (k,ψ^)-Riemann–Liouville fractional integral operators. Existence and uniqueness results for the given problem are proved with the aid of standard fixed point theorems. Examples illustrating the main results are presented.
On the ψ-hilfer fractional derivative
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Web16 de ago. de 2024 · The field of generalized fractional derivative operators is one of the latest topics attracting scientists due to its use and application in many areas … WebThis paper is structured the continuing parts of the paper as follows: In Section 2, we provide an essential system of symbols, definitions, and lemmas of ψ-Hilfer fractional …
Web31 de mar. de 2024 · [41] J. Vanterler da C. Sousa and E. Capelas de Oliveira, On the ψ-Hilfer fractional derivative, Communications in Nonlinear Science and Numerical Simulation. 60 (2024) 72-91. [42] J. Vanterler da C. Sousa, E. Capelas de Oliveira, Existence, uniqueness, estimation and continuous dependence of the solutions of a … Web1 de fev. de 2024 · In this paper we study single-valued and multi-valued (k,ψ)-Hilfer-type boundary value problems of fractional order in (1,2], subject to nonlocal boundary conditions involving (k,ψ)-Hilfer-type ...
Web15 de jul. de 2024 · In terms of the ψ‐Hilfer fractional derivative, we developed the predictor–corrector algorithm to provide numerical solutions to the FORP. Three … Web19 de dez. de 2024 · Fractional calculus is a branch of classical mathematics that generalizes the integer order differentiation and integration of a function to non-integer order [2,3,4, 13, 14].There are numerous kinds of fractional derivatives such as Riemann–Liouville, Caputo, Hadamard, Hilfer, Erdélyi-Kober, Katugampola, and others …
Web11 de set. de 2024 · This paper investigates the overall solution attractivity of the fractional differential equation involving the ψ-Hilfer fractional derivative and using the …
Web17 de ago. de 2024 · In this paper we introduce a new fractional derivative with respect to another function the so-called $ψ$-Hilfer fractional derivative. We discuss some … dutchfoodsystemsWeb20 de ago. de 2024 · Abstract: Considering a fractional integro-differential equation involving a general form of Hilfer fractional derivative with respect to another function. … in a motor back emf increases asWeb1 de nov. de 2024 · In the current paper, we present the most generalized variant of the Hilfer derivative so-called (k, Ψ)-Hilfer fractional derivative operator.The (k, Ψ) … dutchflyer rail \\u0026 sail to harwich stena lineWeb17 de ago. de 2024 · On the ψ-Hilfer fractional derivative @article{Sousa2024OnT, title={On the $\psi$-Hilfer fractional derivative}, author={Jos{\'e} Vanterler da Costa … dutchflyer rail \u0026 sail to harwich stena lineWeb31 de mai. de 2024 · Likewise, the k -generalized ψ -Hilfer fractional derivative can encompass more fractional operators, opening the new avenues for applications. 2. A generalized Gronwall’s inequality introduced and established in this work can be used to obtain several stability results for problems involving fractional differential equations. 3. dutchflyerWeb1 de jun. de 2024 · Abstract. The main purpose of this research is to present a generalization of Ψ–Hilfer fractional derivative, called as regularized Ψ–Hilfer, and … dutchfoodweekWeb8 de jan. de 2024 · TL;DR: In this article, a new fractional derivative with respect to another function is introduced, the so-called ψ-Hilfer fractional derivatives, which can be used to obtain uniformly convergent sequence of function, uniformly continuous function and examples including the Mittag-Leffler function with one parameter. dutchforkchapter.org