Search
Search Results
-
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives
As a follow-up to the inherent nature of Caputo-Hadamard fractional derivative ( CHFD ) and the Hadamard fractional derivative ( HFD ), little is known...
-
On Boundedness of Fractional Hadamard Integration and Hadamard-Type Integration in Lebesgue Spaces with Mixed Norm
In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in...
-
Existence and Hyers–Ulam Stability of Jerk-Type Caputo and Hadamard Mixed Fractional Differential Equations
This article is concerned with existence of mild solutions for jerk-type fractional differential equations in the sense of Hadamard and Caputo...
-
Study on Hermite-Hadamard-type inequalities using a new generalized fractional integral operator
In this study, a new definition of the fractional integral operator is first proposed, which generalizes some well-known fractional integral...
-
Efficient spectral collocation method for fractional differential equation with Caputo-Hadamard derivative
Hadamard type fractional calculus involves logarithmic function of an arbitrary exponent as its convolutional kernel, which causes challenge in...
-
A theoretical study of the fractional-order p-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam–Hyers stability
In this article, we study the solvability properties of some nonlinear Hadamard type nonlocal turbulent flow models in porous medium involving the p -L...
-
Lyapunov-type inequalities for differential equation with Caputo–Hadamard fractional derivative under multipoint boundary conditions
In this work, we establish Lyapunov-type inequalities for the fractional boundary value problems with Caputo–Hadamard fractional derivative subject...
-
Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative
This study examines the reachability of a time-varying fractional dynamical system with Riemann-Liouville fractional derivative. The state transition...
-
On some Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities
The main aim of this paper is establishing some new Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities, which can be used...
-
Finite Difference Approximation for the Space-Time Fractional Linear Diffusion Equation Involving the Caputo-Hadamard Fractional Derivative
In this paper, we provide an accurate numerical solution for space-time fractional linear diffusion equation involving the fractinal Caputo-Hadamard...
-
On a new version of Hermite–Hadamard-type inequality based on proportional Caputo-hybrid operator
In mathematics and the applied sciences, as a very useful tool, fractional calculus is a basic concept. Furthermore, in many areas of mathematics, it...
-
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions
In this paper, new inequalities for the left and right sides of the Hermite–Hadamard inequality are acquired for twice-differentiable map**s....
-
Some Hermite–Hadamard type inequalities for functions of generalized convex derivative
We obtain some new inequalities of Hermite–Hadamard type. We consider functions that have convex or generalized convex derivative. Additional...
-
ON RANDOM FRACTIONAL DIFFERENTIAL COUPLED SYSTEMS WITH HILFER–KATUGAMPOLA FRACTIONAL DERIVATIVE IN BANACH SPACES
This paper delves into the investigation of existence and uniqueness results concerning the Hilfer–Katugampola random nonlinear fractional...
-
Stability Analysis and Existence Criteria with Numerical Illustrations to Fractional Jerk Differential System Involving Generalized Caputo Derivative
This inquire about ponder is committed to investigating a few properties in connection to behaviors of solutions to an extended fractional structure...
-
Tempered and Hadamard-Type Fractional Calculus with Respect to Functions
Many different types of fractional calculus have been defined, which may be categorised into broad classes according to their properties and...
-
New Quantum Hermite–Hadamard-Type Inequalities for p-Convex Functions Involving Recently Defined Quantum Integrals
We develop new Hermite–Hadamard-type integral inequalities for p -convex functions in the context of q -calculus by using the concept of recently...
-
Investigation of fractional order inclusion problem with Mittag-Leffler type derivative
Inclusions problems due to differential equations arise in many situations like variational inequalities, projective dynamical systems, and many...