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Some fractional Hermite–Hadamard-type inequalities for interval-valued coordinated functions
The primary objective of this paper is establishing new Hermite–Hadamard-type inequalities for interval-valued coordinated functions via...
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An Application of the Grünwald-Letinkov Fractional Derivative to a Study of Drug Diffusion in Pharmacokinetic Compartmental Models
In this study, we present the application of fractional calculus (FC) in biomedicine. We present three different integer order pharmacokinetics...
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Stability results and existence for fractional differential equation involving Atangana-Baleanu derivative with nonlocal integral conditions
This article’s main objective is to derive the existence criterion for positive solutions and establish Hyers-Ulam (HU) stability of the fractional...
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Approximation Results for Hadamard-Type Exponential Sampling Kantorovich Series
The present paper deals with construction of a new family of exponential sampling Kantorovich operators based on a suitable fractional-type integral...
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On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel
The main motivation of this study is to bring together the field of inequalities with fractional integral operators, which are the focus of attention...
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Implicit Fractional Differential Equations
This chapter deals with some existence and Ulam stability results for a class of initial and boundary value problems for differential equations with...
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Hybrid Fractional Differential Equations
This chapter is devoted to proving some results concerning the existence of solutions for a class of initial and boundary value problems for...
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High-order schemes based on extrapolation for semilinear fractional differential equation
By rewriting the Riemann–Liouville fractional derivative as Hadamard finite-part integral and with the help of piecewise quadratic interpolation...
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On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative
In this paper, we study a class of initial value problems for a nonlinear implicit fractional differential equation with nonlocal conditions...
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Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ -Caputo...
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Time-dependent identification problem for a fractional Telegraph equation with the Caputo derivative
This study investigates the inverse problem of determining the right-hand side of a telegraph equation given in a Hilbert space. The main equation...
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Existence and uniqueness of nonlocal boundary conditions for Hilfer–Hadamard-type fractional differential equations
In this paper, we use some fixed point theorems in Banach space for studying the existence and uniqueness results for Hilfer–Hadamard-type fractional...
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Generalized fractional Dirac type operators
We introduce a class of fractional Dirac type operators with time variable coefficients by means of a Witt basis, the Djrbashian–Caputo fractional...
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Extremal Positive Solutions for Hadamard Fractional Differential Systems on an Infinite Interval
In this paper, we deal with the iterative positive solutions for a system of Hadamard fractional differential equations, supplemented with...
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Finite Difference Schemes for Time-Space Fractional Diffusion Equations in One- and Two-Dimensions
In this paper, finite difference schemes for solving time-space fractional diffusion equations in one dimension and two dimensions are proposed. The...
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A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability
In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary...
