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On the Existence and Stability Analysis for \(\varPsi \) -Caputo Fractional Boundary Value Poblem
In this paper, we study the existence and uniqueness results of the solutions for non-linear boundary value problems involving...
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New Hermite–Hadamard Inequalities Concerning Twice Differentiable Generalized ψ-Convex Map**s via Conformable Fractional Integrals
In this article, we first introduced a new class of generalized ((p1, p2);(ψ1, ψ2))–convex map**s and an interesting lemma regarding...
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Some New Fractional Inequalities Using n-Polynomials s-Type Convexity
In the present paper, the authors establish a new version of the Hermite–Hadamard and Ostrowski type fractional integral inequalities for a class of...
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Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals
In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several...
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Impulsive Fractional Differential Equations with Retardation and Anticipation
This Retardation and anticipationchapter deals with the existence and uniquenessUniqueness results for a class of impulsive initial and...
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Adaptive Sliding Mode Control for Uncertain General Fractional Chaotic Systems
This chapter focuses on the Lyapunov stability analysis of general fractional differential systems (GFDSs), as well as adaptive sliding mode control...
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Hermite–Hadamard-type inequalities for strongly \((\alpha ,m)\)-convex functions via quantum calculus
In this paper, we derive a quantum analogue of Hermite–Hadamard-type inequalities for twice differentiable convex functions whose second derivatives...
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Weighted fractional inequalities for new conditions on h-convex functions
We use a new function class called B -function to establish a novel version of Hermite–Hadamard inequality for weighted ψ -Hilfer operators....
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On Hybrid Caputo-Proportional Fractional Differential Inclusions in Banach Spaces
We investigate the existence of solutions for a nonlinear fractional differential inclusion in a sense of hybrid Caputo-proportional fractional...
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The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian
This paper is devoted to studying the blow-up and global existence of the solution to a semilinear time-space fractional diffusion equation, where...
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Homogeneity-Based Exponential Stability Analysis for Conformable Fractional-Order Systems
We study the exponential stability of homogeneous fractional time-varying systems and the existence of Lyapunov homogeneous function for the...
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Analysis of Neutral Fractional Differential Equation via the Method of Upper and Lower Solution
This manuscript is concerned about the study of the existence of solutions for the class of nonlinear neutral Caputo-Hadamard fractional differential...
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Existence and nonexistence results for fractional mixed boundary value problems via a Lyapunov-type inequality
In this article, we prove a Lyapunov-type inequality for a fractional differential equation under mixed boundary conditions. As applications, we...
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On the nonlinear Hadamard-type integro-differential equation
This paper studies uniqueness of solutions for a nonlinear Hadamard-type integro-differential equation in the Banach space of absolutely continuous...
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A Legendre-spectral method for Hadamard fractional partial differential equations
In this paper, we present a spectral method to obtain numerical solutions of Caputo–Hadamard fractional partial differential equations. For better...
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On qualitative analysis of a fractional hybrid Langevin differential equation with novel boundary conditions
A hybrid system interacts with the discrete and continuous dynamics of a physical dynamical system. The notion of a hybrid system gives embedded...
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On a Coupled System of Nonlinear Generalized Fractional Differential Equations with Nonlocal Coupled Riemann–Stieltjes Boundary Conditions
In this paper, we study a new class of coupled systems of nonlinear generalized fractional differential equations complemented with coupled nonlocal...