Keywords: انتگرال مکرر; Convex function; Kernel; Hilfer fractional derivatives; Fractional integral;
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Keywords: انتگرال مکرر; Economics; Dynamic memory; Power-law memory; Fading memory; Multiplier; Accelerator; Fractional derivative; Fractional integral; Fractional dynamics; Fractional calculus; 91B02; 91B55; 34A08; 26A33;
Keywords: انتگرال مکرر; Adaptive time step; Finite difference method; Fractional integral; Horizontal water flow; Picard technique; Unsaturated porous media;
Keywords: انتگرال مکرر; Discretization; Exact discretization; Finite differences; Infinite series; Fourier transform; Non-standard differences; Fractional derivative; Fractional integral; Fractional difference;
Keywords: انتگرال مکرر; Pseudo-addition; Pseudo-multiplication; Pseudo-convolution; Pseudo-integral; Semiring; Chebyshev’s inequality; Fractional integral
Keywords: انتگرال مکرر; Fractional calculus; Lattice models; Fractional derivative; Fractional integral; Nonlocal continuum; Fractional dynamics;
Keywords: انتگرال مکرر; 26A33Fractional derivative; Fractional integral
Keywords: انتگرال مکرر; Finite difference method; Caputo derivative; Fractional integral; Fractional delay differential equations
Keywords: انتگرال مکرر; Hermite-Hadamard inequality; Fractional integral; Convex function; Gamma function; Beta function;
Keywords: انتگرال مکرر; primary, 43A85, 58J05, 42C10; secondary, 42B35, 33C45Analysis on compact Riemannian symmetric spaces of rank one; Two-point homogeneous spaces; Laplace–Beltrami operator; Fractional integral; Jacobi expansions; Weighted inequality; Mixed norm spaces
Keywords: انتگرال مکرر; Caputo fractional derivative; Fractional integral; Existence and uniqueness; Schauder fixed point theorem
Potential operators and laplace type multipliers associated with the twisted laplacian
Keywords: انتگرال مکرر; twisted Laplacian; special Hermite expansion; negative power; potential operator; fractional integral; potential kernel; spectral multiplier; singular oscillatory integral; 42C10; 47G40; 31C15; 26A33;
Potential operators associated with Jacobi and Fourier-Bessel expansions
Keywords: انتگرال مکرر; Jacobi expansion; Fourier-Bessel expansion; Potential operator; Fractional integral; Potential kernel; Poisson kernel;
A characterization of Campanato space via commutator of fractional integral
Keywords: انتگرال مکرر; Campanato space; Commutator; Fractional integral
Some results on the extended beta and extended hypergeometric functions
Keywords: انتگرال مکرر; Extended beta function; Extended Gauss hypergeometric function; Extended generalized hypergeometric function; Fractional integral; H-function; Laguerre polynomial
Weighted estimates for commutators of some singular integrals related to Schrödinger operators
Keywords: انتگرال مکرر; 42B35; 35J10; Weight; Riesz transform; Fractional integral; Schrödinger operator; Commutator; BMO;
A numerical method based on finite difference for solving fractional delay differential equations
Keywords: انتگرال مکرر; Finite difference method; Caputo functional derivative; Fractional integral; Fractional delay differential equations
Lipschitz type smoothness of the fractional integral on variable exponent spaces
Keywords: انتگرال مکرر; Fractional integral; Variable exponent
Fractional resolvents and fractional evolution equations
Keywords: انتگرال مکرر; Riemann–Liouville fractional derivative; Fractional integral; Fractional resolvent
Existence of anti-periodic mild solutions for a class of semilinear fractional differential equations
Keywords: انتگرال مکرر; Anti-periodic mild solutions; Semilinear fractional differential equations; Solution operator; Fractional integral
Solvability for a coupled system of fractional differential equations at resonance
Keywords: انتگرال مکرر; Resonance; Fredholm operator; Fractional integral; Fractional derivative; Boundary value problem
Fractional electrostatic equations in fractal composite structures
Keywords: انتگرال مکرر; Fractional integral; Fractional derivative; Fractal geometry; Composite materials
Hardy spaces associated with magnetic Schrödinger operators on strongly Lipschitz domains
Keywords: انتگرال مکرر; 42B30; 42B20; 42B25Hardy space; Magnetic Schrödinger operator; Strongly Lipschitz domain; Maximal function; Riesz transform; Fractional integral
Fractional semilinear differential inclusions
Keywords: انتگرال مکرر; Fractional differential inclusions; Fractional derivative; Fractional integral; Fixed point; Compactness; Absolute retract
On the fractional solution of the equation f(x + y) = f(x)f(y) and its application to fractional Laplace’s transform
Keywords: انتگرال مکرر; Fractional calculus; Mittag–Leffler function; Fractional logarithm; Fractional Laplace’s transform; Fractional integral
Positive solutions for fractional four-point boundary value problems
Keywords: انتگرال مکرر; Caputo fractional derivative; Fractional integral; Boundary value problem; Fixed-point theorems; Monotone iterative method
Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
Keywords: انتگرال مکرر; Caputo fractional derivative; Fractional integral; Existence and uniqueness; Banach contraction principle
New uniqueness results of solutions for fractional differential equations with infinite delay
Keywords: انتگرال مکرر; Riemman–Liouville fractional derivatives; Fractional integral; Existence and uniqueness; Fixed point theorem
Nonlocal and multiple-point boundary value problem for fractional differential equations
Keywords: انتگرال مکرر; Nonlocal boundary value problem; Caputo’s fractional derivative; Fractional integral; Fixed point theorems
Impulsive fractional differential equations with variable times
Keywords: انتگرال مکرر; Initial value problem; Impulses; Variable times; Caputo fractional derivative; Fractional integral; Existence; Fixed point
Existence results for fractional order semilinear functional differential equations with nondense domain
Keywords: انتگرال مکرر; 26A33; 26A42; 34G25Semilinear functional differential equation; Nondense domain; Fractional derivative; Fractional integral; Fixed point; Semigroups; Integral solutions
On a class of retarded integro-differential equations with nonlocal initial conditions
Keywords: انتگرال مکرر; Solution operator; Fractional integral; Time delays; Nonlocal initial conditions
Impulsive differential inclusions with fractional order
Keywords: انتگرال مکرر; Fractional differential inclusions; Fractional derivative; Fractional integral; Fractional differential equations; Existence and uniqueness; Fixed point; Decomposable; Continuous selection; Compactness; Relaxation theorem; RδRδ; Acyclic; Contractible; Abs
Boundary value problems for differential equations with fractional order and nonlocal conditions
Keywords: انتگرال مکرر; 26A33; 34B15Boundary value problem; Caputo fractional derivative; Fractional integral; Existence; Uniqueness; Fixed point; Nonlocal boundary conditions
S -asymptotically ωω-periodic solutions of semilinear fractional integro-differential equations
Keywords: انتگرال مکرر; SS-asymptotically ωω-periodic function; Solution operator; Fractional integral; Semilinear integro-differential equations
The method of upper and lower solutions and impulsive fractional differential inclusions
Keywords: انتگرال مکرر; Initial value problem; Fractional differential inclusions; Impulses; Caputo fractional derivative; Fractional integral; Lower and upper solution; Fixed point
Box dimension and fractional integral of linear fractal interpolation functions
Keywords: انتگرال مکرر; Fractal interpolation functions; Box dimension; Fractional integral
Operators associated with the Jacobi semigroup
Keywords: انتگرال مکرر; Jacobi expansions; Fractional integral; Fractional derivate; Potential spaces; Meyer’s multiplier theorem; Carleson measure; Triebel–Lizorkin spaces; Besov spaces
Almost automorphic solutions to a class of semilinear fractional differential equations
Keywords: انتگرال مکرر; Almost automorphic function; Solution operator; Fractional integral; Semilinear integro-differential equations
Analytical solution of the linear fractional differential equation by Adomian decomposition method
Keywords: انتگرال مکرر; 26A33; 65L05Fractional derivative; Fractional integral; Adomian decomposition method; Green's function
Some results for fractional boundary value problem of differential inclusions
Keywords: انتگرال مکرر; 26A33; 26A42; 34A60Fractional differential inclusions; Boundary; Fractional derivative; Fractional integral; Functional differential inclusions; Fixed point; Decomposable; Continuous selection; Compactness; Relaxation theorem; Infinite delay
An approximation solution of a nonlinear equation with Riemann–Liouville's fractional derivatives by He's variational iteration method
Keywords: انتگرال مکرر; 65D15; 65K10; 65M99Variation method; Adomian's decomposition method; Fractional differential equation; Riemann-Liouville's fractional derivative; Fractional integral
Generalized Taylor’s formula
Keywords: انتگرال مکرر; Fractional integral; Caputo fractional derivative; Generalized Taylor’s formula
Solving a multi-order fractional differential equation using adomian decomposition
Keywords: انتگرال مکرر; Fractional differential equation; Adomian decomposition method; Caputo fractional derivative; Riemann–Liouville fractional derivative; Fractional integral
Existence of fractional integral equation with hysteresis
Keywords: انتگرال مکرر; Fractional integral; Hysteresis; Schauder’s fixed point theorem
Rectangular decomposition method for fractional diffusion-wave equations
Keywords: انتگرال مکرر; Rectangular decomposition method; Fractional integral; Caputo derivative; Diffusion-wave equation;
Approximations of fractional integrals and Caputo fractional derivatives
Keywords: انتگرال مکرر; Fractional integral; Caputo fractional derivative; Modified trapezoidal rule; Caputo fractional derivative rule
Solving a system of nonlinear fractional differential equations using Adomian decomposition
Keywords: انتگرال مکرر; System of nonlinear fractional differential equations; Adomian decomposition; Adomian polynomials; Caputo fractional derivative; Fractional integral
A reliable modification of the rectangular decomposition method
Keywords: انتگرال مکرر; Rectangular decomposition method; Fractional integral; Caputo derivative; Mittag-Leffler function;
Some functional inequalities and inclusion relationships associated with certain families of integral operators
Keywords: انتگرال مکرر; Analytic functions; Univalent functions; Starlike functions; Convex functions; Close-to-convex functions; Quasi-convex functions; Jung-Kim-Srivastava operators; Bernardi operator; Miller-Mocanu lemma; Multiplier transformation; Fractional integral; Fracti