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1. A new representation for the solution of the Richards-type fractional differential equation NSTL国家科技图书文献中心

EL-Fassi, Iz-iddine | Nieto, Juan J.... - 《Mathematical Methods in the Applied Sciences》 - 2025,48(2) - 1519～1529 - 共11页

摘要： differential equation D-alpha y(t) = y(t) center dot (1 + a(t | ordinary differential* equation.* | characterization) of the solution to the Richards-type fractional | generalizes the results obtained on fractional* logistic* | Richards in [35] proposed a modification of

关键词： fractional calculus | fractional derivative | fractional differential equation | non-singular kernel | Richards differential equation | non‐singular kernel

2. On the solution of nonlinear nonlocal Volterra-Fredholm type hybrid fractional differential equation NSTL国家科技图书文献中心

Devi, Darshana | Borah, Jayanta - 《Indian Journal of Pure and Applied Mathematics》 - 2025,56(1) - 67～78 - 共12页

摘要： fractional differential equation of order 1 | In this article, we focus on a Caputo hybrid | nonlocal boundary conditions, which is of the Volterra | -Fredholm type. We investigate the existence of solutions | using Dhage's fixed point theorem for Banach algebras

关键词： Volterra-Fredholm hybrid fractional* differential equation | Nonlocal boundary conditions | Solution existence | Hybrid fixed point theorem*

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3. Solvability of a fractional differential equation multipoint boundary value problem at resonance in R n NSTL国家科技图书文献中心

Sun, Rongpu | Bai, Zhanbing - 《Mathematical Methods in the Applied Sciences》 - 2025,48(1) - 1021～1036 - 共16页

摘要： differential equation multipoint boundary value problem at | In this paper, the solvability of a fractional | resonance in R-n is investigated by utilizing the Mawhin's | continuation theorem. In order to relax the assumptions of | matrices in the boundary conditions, the Moore-Penrose

关键词： fractional differential equation in R-n | Moore-Penrose pseudoinverse matrix | multipoint boundary value problem | resonance | fractional differential equation in ℝn$$ {mathrm{mathbb{R}}}^n $$ | Moore–Penrose pseudoinverse matrix

4. Determination of two unknown functions of different variables in a time-fractional differential equation NSTL国家科技图书文献中心

Kirane, Mokhtar | Lopushansky, Andriy ... - 《Mathematical Methods in the Applied Sciences》 - 2025,48(4) - 4185～4194 - 共10页

摘要： differential equation of 2b$$ 2b $$-order with the Caputo | fractional derivative over time and Schwartz-type | of the Cauchy problem for such an equation, space | coefficient in the equation* are unknown. We find sufficient* | We study the inverse problem for a

关键词： fractional derivative | Green vector-function | integral condition | inverse problem | Schwartz distribution | Green vector‐function

5. On a mixed partial Caputo derivative and its applications to a hyperbolic partial fractional differential equation NSTL国家科技图书文献中心

Kamocki, Rafal | Obczynski, Cezary - 《Fractional Calculus and Applied Analysis》 - 2025,28(1) - 1～23 - 共23页

摘要： fractional counterpart of a nonlinear continuous Goursat | We propose an alternative definition of a | mixed partial derivative in the Caputo sense for | functions of two variables defined on the rectangle P=[0,a | ]x[0,b] (a > 0,b > 0). We give an integral

关键词： fractional calculus (primary) | partial mixed fractional integrals and derivatives | fractional Goursat-Darboux type system | existence and uniqueness of a solution | Ulam-Hyers type stability

6. On Ulam type stability of the solution to a ψ -Hilfer abstract fractional functional differential equation NSTL国家科技图书文献中心

Kundu, Sunil | Bora, Swaroop Nandan - 《Physica Scripta》 - 2025,100(4) - 共13页

摘要： differential equation under feasible hypotheses. By utilizing | solutions to a psi-Hilfer abstract fractional* functional* | fractional-order systems in capturing memory effects and | fractional orders and weight functions, demonstrating the | flexibility and robustness of the fractional* framework. The*

关键词： Fractional differential equation | psi-Hilfer fractional derivative | Generalized Gr & ouml;nwall's | inequality | Ulam-Hyers stability | Ulam-Hyers-Rassias stability

7. Solving the fractional nonlinear dispersive K ( m , n , 1) partial differential equation: techniques and applications NSTL国家科技图书文献中心

Alzahrani, Abdulrahm... - 《Physica Scripta》 - 2025,100(3) - 共16页

摘要： fractional differential equation problems with diverse | fractional differential equations, and the MRPSM gives a | fractional nonlinear dispersive K(m,n,1) equations using | MRPSM are adequate for solving the fractional | This paper presents an in-depth analysis of

关键词： Mohand transform iterative method | fractional order differential equation | Caputo operator

8. Existence and multiplicity for fractional differential equations with m(ξ)-Kirchhoff type-equation NSTL国家科技图书文献中心

Feitosa, Everson F. ... | Sousa, J. Vanterler ...... - 《Computational and Applied Mathematics》 - 2025,44(1) - 共24页

摘要： differential equations with m(xi)-Kirchhoff-type equation. | appropriate fractional* space setting. In this sense, using* | weak solutions for a new class of fractional | In this paper, we first investigate the Palais | -Smale compactness condition of the energy functional

关键词： Fractional differential equations | m(xi)-Kirchhoff equation | Existence | Multiplicity

9. On boundary value problem of the nonlinear fractional partial integro-differential equation via inverse operators NSTL国家科技图书文献中心

Li, Chenkuan - 《Fractional Calculus and Applied Analysis》 - 2025,28(1) - 386～410 - 共25页

摘要：-differential* equation with boundary conditions. Our analysis* | new nonlinear fractional* partial integro* | relies on an equivalent implicit integral equation* in* | . Finally, we consider the generalized fractional* wave* | equation in Rndocumentclass[12pt]{minimal} usepackage

关键词： Fractional calculus (primary) | Partial integro-differential equation | Banach's contractive principle | Multivariate Mittag-Leffler function | Inverse operator | Leray-Schauder's fixed point theorem | Generalized fractional wave equation

10. Existence and k-Mittag-Leffler-Ulam stabilities of a Volterra integro-differential equation via ( k ,ρ)-Hilfer fractional derivative NSTL国家科技图书文献中心

Lemnaouar, M. R. - 《Mathematical Methods in the Applied Sciences》 - 2025,48(4) - 4723～4739 - 共17页

摘要： for an implicit Pantograph fractional differential | equation that incorporates the (k,rho)-Hilfer derivative | In this paper, we aim to study the existence | and two types of k-Mittag-Leffler Ulam stabilities | . To establish the existence and uniqueness of

关键词： Volterra integro-differential equation | k-Mittag-Ulam-Hyers stability | k-Mittag-Ulam-Hyers-Rassias stability | (k,rho)-Hilfer fractional derivative | k$$ k $$‐Mittag–Ulam–Hyers stability | k$$ k $$‐Mittag–Ulam–Hyers–Rassias stability | (k,ϱ)$$ left(k,varrho right) $$‐Hilfer fractional derivative | Volterra integro‐differential equation

摘要： differential equation D-alpha y(t) = y(t) center dot (1 + a(t | ordinary differential equation. | characterization) of the solution to the Richards-type fractional | generalizes the results obtained on fractional logistic | Richards in [35] proposed a modification of

关键词： fractional calculus | fractional derivative | fractional differential equation | non-singular kernel | Richards differential equation | non‐singular kernel

摘要： fractional differential equation of order 1 | In this article, we focus on a Caputo hybrid | nonlocal boundary conditions, which is of the Volterra | -Fredholm type. We investigate the existence of solutions | using Dhage's fixed point theorem for Banach algebras

关键词： Volterra-Fredholm hybrid fractional differential equation | Nonlocal boundary conditions | Solution existence | Hybrid fixed point theorem

摘要： differential equation multipoint boundary value problem at | In this paper, the solvability of a fractional | resonance in R-n is investigated by utilizing the Mawhin's | continuation theorem. In order to relax the assumptions of | matrices in the boundary conditions, the Moore-Penrose

关键词： fractional differential equation in R-n | Moore-Penrose pseudoinverse matrix | multipoint boundary value problem | resonance | fractional differential equation in ℝn$$ {mathrm{mathbb{R}}}&#x0005E;n $$ | Moore–Penrose pseudoinverse matrix

摘要： differential equation of 2b$$ 2b $$-order with the Caputo | fractional derivative over time and Schwartz-type | of the Cauchy problem for such an equation, space | coefficient in the equation are unknown. We find sufficient | We study the inverse problem for a

关键词： fractional derivative | Green vector-function | integral condition | inverse problem | Schwartz distribution | Green vector‐function

摘要： fractional counterpart of a nonlinear continuous Goursat | We propose an alternative definition of a | mixed partial derivative in the Caputo sense for | functions of two variables defined on the rectangle P=[0,a | ]x[0,b] (a > 0,b > 0). We give an integral

关键词： fractional calculus (primary) | partial mixed fractional integrals and derivatives | fractional Goursat-Darboux type system | existence and uniqueness of a solution | Ulam-Hyers type stability

关键词： Fractional differential equation | psi-Hilfer fractional derivative | Generalized Gr & ouml;nwall's | inequality | Ulam-Hyers stability | Ulam-Hyers-Rassias stability

摘要： fractional differential equation problems with diverse | fractional differential equations, and the MRPSM gives a | fractional nonlinear dispersive K(m,n,1) equations using | MRPSM are adequate for solving the fractional | This paper presents an in-depth analysis of

关键词： Mohand transform iterative method | fractional order differential equation | Caputo operator

摘要： differential equations with m(xi)-Kirchhoff-type equation. | appropriate fractional space setting. In this sense, using | weak solutions for a new class of fractional | In this paper, we first investigate the Palais | -Smale compactness condition of the energy functional

关键词： Fractional differential equations | m(xi)-Kirchhoff equation | Existence | Multiplicity

摘要：-differential equation with boundary conditions. Our analysis | new nonlinear fractional partial integro | relies on an equivalent implicit integral equation in | . Finally, we consider the generalized fractional wave | equation in Rndocumentclass[12pt]{minimal} usepackage

关键词： Fractional calculus (primary) | Partial integro-differential equation | Banach's contractive principle | Multivariate Mittag-Leffler function | Inverse operator | Leray-Schauder's fixed point theorem | Generalized fractional wave equation

摘要： for an implicit Pantograph fractional differential | equation that incorporates the (k,rho)-Hilfer derivative | In this paper, we aim to study the existence | and two types of k-Mittag-Leffler Ulam stabilities | . To establish the existence and uniqueness of

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国家科技图书文献中心

摘要： differential equation D-alpha y(t) = y(t) center dot (1 + a(t | ordinary differential* equation.* | characterization) of the solution to the Richards-type fractional | generalizes the results obtained on fractional* logistic* | Richards in [35] proposed a modification of

关键词： Volterra-Fredholm hybrid fractional* differential equation | Nonlocal boundary conditions | Solution existence | Hybrid fixed point theorem*

关键词： fractional differential equation in R-n | Moore-Penrose pseudoinverse matrix | multipoint boundary value problem | resonance | fractional differential equation in ℝn$$ {mathrm{mathbb{R}}}^n $$ | Moore–Penrose pseudoinverse matrix

摘要： differential equation of 2b$$ 2b $$-order with the Caputo | fractional derivative over time and Schwartz-type | of the Cauchy problem for such an equation, space | coefficient in the equation* are unknown. We find sufficient* | We study the inverse problem for a

摘要： differential equations with m(xi)-Kirchhoff-type equation. | appropriate fractional* space setting. In this sense, using* | weak solutions for a new class of fractional | In this paper, we first investigate the Palais | -Smale compactness condition of the energy functional

摘要：-differential* equation with boundary conditions. Our analysis* | new nonlinear fractional* partial integro* | relies on an equivalent implicit integral equation* in* | . Finally, we consider the generalized fractional* wave* | equation in Rndocumentclass[12pt]{minimal} usepackage